INVERSE TRIG FUNCTIONS Expressions (Page 6 of 8)

Finally, we will consider some examples that involve composition of trigonometric and inverse trigonometric functions. To begin, let's evaluate  sin(arcsin(-1/2)).

 CLEAR key.

 SIN key. 2nd inverse sine key. Negation key. 1 Divide key. 2 Right parenthesis key. Right parenthesis key. ENTER key.

 Calculator screen image.

This is an identity that is true for all values between -1 and 1 (inclusive). Next, evaluate arcsin[sin(120deg)]. Due to the limited range of the arcsine function, the result will not agree with the input value (convince yourself of this)!

 2nd inverse sine key. SIN key. 120 Right parenthesis key. Right parenthesis key. ENTER key. Calculator screen image.
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