FunctionCalculations

For actual operations using each function, see the “Examples” section following the list below.

π: π is displayed as 3.141592654, but π = 3.14159265358980 is used for internal calculations.

e: e is displayed as 2.718281828, but e = 2.71828182845904 is used for internal calculations.

sin, cos, tan, sin−1, cos−1, tan−1 : Trigonometric functions. Specify the angle unit before performing calculations. See 1.

sinh, cosh, tanh, sinh−1, cosh−1, tanh−1 : Hyperbolic functions. Input a function from the menu that appears when you press w. The angle unit setting does not affect calculations. See 2.

°, r, g : These functions specify the angle unit. ° specifies degrees, r radians, and g grads. Input a function from the menu that appears when you perform the following key operation: 1G(DRG'). See 3.

$, %: Exponential functions. Note that the input method is different depending upon whether you are using Natural Display or Linear Display. See 4.

log: Logarithmic function. Use the l key to input logab as log (a, b). Base 10 is the default setting if you do not input anything for a. The & key also can be used for input, but only while Natural Display is selected. In this case, you must input a value for the base. See 5.

ln: Natural logarithm to base e. See 6.

x2, x3, x^, ), #, ", x−1 : Powers, power roots, and reciprocals. Note that the input methods for x^, ), #, and "are different depending upon whether you are using Natural Display or Linear Display. See 7.

Note: • The following functions cannot be input in consecutive sequence: x2, x3, x^, x−1. If you input 2ww, for example, the final w will be ignored. To input 222 , input 2w, press the d key, and then press w(B).

x2, x3, x−1 can be used in complex number calculations.

: Function for performing numerical integration using the Gauss-Kronrod

method. Natural Display input syntax is ab f(x), while Linear Display input

syntax is ( f(x) , a, b, tol). tol specifies tolerance, which becomes 1 10–5when nothing is input for tol. Also see “Integration and Differential Calculation Precautions” and “Tips for Successful Integration Calculations” for more information. See 8.

F: Function for approximation of the derivative based on the central

d

difference method. Natural Display input syntax is dx ( f(x))  x= a, while Linear Display input syntax is d ( f(x), a, tol). tol specifies tolerance,

dx

which becomes 1 10–10when nothing is input for tol. Also see “Integration and Differential Calculation Precautions” for more information. See 9.

b

8: Function that, for a specified range of f(x), determines sum Σ ( f(x))

x=a b

= f(a) + f(a+1) + f(a+2) + ...+ f(b). Natural Display input syntax is Σ ( f(x)),

x=a

while Linear Display input syntax is Σ( f(x), a, b). a and b are integers that

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