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281 lines
7.9 KiB
281 lines
7.9 KiB
<!DOCTYPE KSpreadFunctions>
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<KSpreadFunctions>
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<Group>
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<GroupName>Trigonometric</GroupName>
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<Function>
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<Name>COS</Name>
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<Type>Float</Type>
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<Parameter>
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<Comment>Angle (radians)</Comment>
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<Type>Float</Type>
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</Parameter>
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<Help>
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<Text>The COS() function returns the cosine of x, where x is given in radians.</Text>
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<Syntax>COS(Float)</Syntax>
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<Example>COS(0) equals 1.0</Example>
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<Example>COS(PI()/2) equals 0</Example>
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<Related>SIN</Related>
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<Related>ACOS</Related>
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</Help>
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</Function>
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<Function>
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<Name>ACOT</Name>
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<Type>Float</Type>
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<Parameter>
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<Comment>Angle (radians)</Comment>
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<Type>Float</Type>
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</Parameter>
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<Help>
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<Text>The ACOT() function returns the inverse cotangent of a number.</Text>
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<Syntax>ACOT(Float)</Syntax>
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<Example>ACOT(0) equals 1.57079633</Example>
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</Help>
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</Function>
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<Function>
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<Name>SIN</Name>
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<Type>Float</Type>
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<Parameter>
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<Comment>Angle (radians)</Comment>
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<Type>Float</Type>
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</Parameter>
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<Help>
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<Text>The SIN() function returns the sine of x, where x is given in radians.</Text>
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<Syntax>SIN(Float)</Syntax>
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<Example>SIN(0) equals 0</Example>
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<Example>SIN(PI()/2) equals 1</Example>
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<Related>COS</Related>
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<Related>ASIN</Related>
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</Help>
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</Function>
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<Function>
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<Name>TAN</Name>
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<Type>Float</Type>
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<Parameter>
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<Comment>Angle (radians)</Comment>
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<Type>Float</Type>
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</Parameter>
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<Help>
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<Text>The TAN() function returns the tangent of x, where x is given in radians.</Text>
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<Syntax>TAN(Float)</Syntax>
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<Example>TAN(0.7) equals 0.84228838</Example>
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<Example>TAN(0) equals 0</Example>
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<Related>ATAN</Related>
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</Help>
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</Function>
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<Function>
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<Name>ACOS</Name>
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<Type>Float</Type>
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<Parameter>
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<Comment>Angle (radians)</Comment>
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<Type>Float</Type>
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</Parameter>
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<Help>
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<Text>The ACOS() function returns the arc cosine in radians and the value is mathematically defined to be 0 to PI (inclusive).</Text>
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<Syntax>ACOS(Float)</Syntax>
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<Example>ACOS(0.8) equals 0.6435011</Example>
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<Example>ACOS(0) equals 1.57079633</Example>
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<Related>COS</Related>
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</Help>
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</Function>
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<Function>
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<Name>ASIN</Name>
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<Type>Float</Type>
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<Parameter>
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<Comment>Angle (radians)</Comment>
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<Type>Float</Type>
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</Parameter>
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<Help>
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<Text>The ASIN() function returns the arc sine in radians and the value is mathematically defined to be -PI/2 to PI/2 (inclusive).</Text>
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<Syntax>ASIN(Float)</Syntax>
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<Example>ASIN(0.8) equals 0.92729522</Example>
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<Example>ASIN(0) equals 0</Example>
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<Related>SIN</Related>
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</Help>
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</Function>
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<Function>
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<Name>ATAN</Name>
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<Type>Float</Type>
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<Parameter>
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<Comment>Angle (radians)</Comment>
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<Type>Float</Type>
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</Parameter>
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<Help>
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<Text>The ATAN() function returns the arc tangent in radians and the value is mathematically defined to be -PI/2 to PI/2 (inclusive).</Text>
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<Syntax>ATAN(Float)</Syntax>
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<Example>ATAN(0.8) equals 0.67474094</Example>
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<Example>ATAN(0) equals 0</Example>
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<Related>TAN</Related>
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<Related>ATAN2</Related>
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</Help>
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</Function>
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<Function>
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<Name>COSH</Name>
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<Type>Float</Type>
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<Parameter>
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<Comment>Angle (radians)</Comment>
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<Type>Float</Type>
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</Parameter>
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<Help>
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<Text>The COSH() function returns the hyperbolic cosine of x, which is defined mathematically as (exp(x) + exp(-x)) / 2.</Text>
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<Syntax>COSH(Float)</Syntax>
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<Example>COSH(0.8) equals 1.33743495</Example>
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<Example>COSH(0) equals 1</Example>
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<Related>ACOSH</Related>
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</Help>
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</Function>
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<Function>
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<Name>SINH</Name>
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<Type>Float</Type>
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<Parameter>
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<Comment>Angle (radians)</Comment>
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<Type>Float</Type>
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</Parameter>
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<Help>
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<Text>The SINH() function returns the hyperbolic sine of x, which is defined mathematically as (exp(x) - exp(-x)) / 2.</Text>
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<Syntax>SINH(Float)</Syntax>
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<Example>SINH(0.8) equals 0.88810598</Example>
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<Example>SINH(0) equals 0</Example>
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<Related>ASINH</Related>
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</Help>
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</Function>
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<Function>
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<Name>TANH</Name>
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<Type>Float</Type>
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<Parameter>
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<Comment>Angle (radians)</Comment>
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<Type>Float</Type>
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</Parameter>
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<Help>
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<Text>The TANH() function returns the hyperbolic tangent of x, which is defined mathematically as sinh(x)/cosh(x).</Text>
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<Syntax>TANH(Float)</Syntax>
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<Example>TANH(0.8) equals 0.66403677</Example>
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<Example>TANH(0) equals 0</Example>
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<Related>ATANH</Related>
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</Help>
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</Function>
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<Function>
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<Name>ACOSH</Name>
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<Type>Float</Type>
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<Parameter>
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<Comment>Angle (radians)</Comment>
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<Type>Float</Type>
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</Parameter>
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<Help>
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<Text>The ACOSH() function calculates the inverse hyperbolic cosine of x. That is the value whose hyperbolic cosine is x. If x is less than 1.0, acosh() returns not-a-number (NaN) and errno is set.</Text>
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<Syntax>ACOSH(Float)</Syntax>
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<Example>ACOSH(5) equals 2.29243167</Example>
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<Example>ACOSH(0) equals NaN</Example>
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<Related>COSH</Related>
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</Help>
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</Function>
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<Function>
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<Name>ASINH</Name>
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<Type>Float</Type>
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<Parameter>
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<Comment>Angle (radians)</Comment>
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<Type>Float</Type>
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</Parameter>
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<Help>
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<Text>The ASINH() function calculates the inverse hyperbolic sine of x; that is the value whose hyperbolic sine is x.</Text>
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<Syntax>ASINH(Float)</Syntax>
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<Example>ASINH(0.8) equals 0.73266826</Example>
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<Example>ASINH(0) equals 0</Example>
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<Related>SINH</Related>
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</Help>
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</Function>
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<Function>
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<Name>ATANH</Name>
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<Type>Float</Type>
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<Parameter>
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<Comment>Angle (radians)</Comment>
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<Type>Float</Type>
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</Parameter>
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<Help>
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<Text>The ATANH() function calculates the inverse hyperbolic tangent of x; that is the value whose hyperbolic tangent is x. If the absolute value of x is greater than 1.0, ATANH() returns not-a-number (NaN).</Text>
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<Syntax>ATANH(Float)</Syntax>
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<Example>ATANH(0.8) equals 1.09861229</Example>
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<Example>ATANH(0) equals 0</Example>
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<Related>TANH</Related>
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</Help>
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</Function>
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<Function>
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<Name>ATAN2</Name>
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<Type>Float</Type>
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<Parameter>
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<Comment>Angle (radians)</Comment>
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<Type>Float</Type>
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</Parameter>
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<Parameter>
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<Comment>Angle (radians)</Comment>
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<Type>Float</Type>
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</Parameter>
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<Help>
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<Text>This function calculates the arc tangent of the two variables x and y. It is similar to calculating the arc tangent of y/x, except that the signs of both arguments are used to determine the quadrant of the result.</Text>
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<Syntax>ATAN2(value;value)</Syntax>
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<Example>ATAN2(0.5;1.0) equals 1.107149</Example>
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<Example>ATAN2(-0.5;2.0) equals 1.815775</Example>
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<Related>ATAN</Related>
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</Help>
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</Function>
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<Function>
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<Name>DEGREES</Name>
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<Type>Float</Type>
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<Parameter>
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<Comment>Angle (radians)</Comment>
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<Type>Float</Type>
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</Parameter>
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<Help>
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<Text>This function transforms a radian angle to a degree angle.</Text>
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<Syntax>DEGREES(Float)</Syntax>
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<Example>DEGREES(0.78) equals 44.69</Example>
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<Example>DEGREES(1) equals 57.29</Example>
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<Related>RADIANS</Related>
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</Help>
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</Function>
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<Function>
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<Name>RADIANS</Name>
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<Type>Float</Type>
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<Parameter>
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<Comment>Angle (degrees)</Comment>
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<Type>Float</Type>
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</Parameter>
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<Help>
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<Text>This function transforms a degree angle to a radian angle.</Text>
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<Syntax>RADIANS(Float)</Syntax>
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<Example>RADIANS(75) equals 1.308</Example>
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<Example>RADIANS(90) equals 1.5707</Example>
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<Related>DEGREES</Related>
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</Help>
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</Function>
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<Function>
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<Name>PI</Name>
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<Type>Float</Type>
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<Help>
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<Text>The PI() function returns the value of PI.</Text>
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<Syntax>PI()</Syntax>
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<Example>PI() equals 3.141592654...</Example>
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</Help>
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</Function>
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</Group>
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</KSpreadFunctions>
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