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6.1.2

6.1.2. Inverse Sine and Cosine. 6-21. You can use your calculator to draw the full inverse of sine by using the draw inverse command. Set your window so that x goes from [−3, 3] and y goes from [− 6, 6]. Enter Y1 = sin −1 ( x ) and graph the function. Now select

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6.1.2

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  1. 6.1.2 Inverse Sine and Cosine

  2. 6-21 • You can use your calculator to draw the full inverse of • sine by using the draw inverse command. Set your • window so that x goes from [−3, 3] and y goes from [−6, 6]. • Enter Y1 = sin−1(x) and graph the function. Now select • from the [DRAW] menu (2nd PRGM) and select 8: • DrawInv. On the main screen enter DrawInv sin(X). You • should see this graph cover up the function y = sin−1x.

  3. MATH NOTES - Notation for Inverse Trig Functions • There are two standard notations to represent the inverse for trig functions. • The first uses inverse notation. For example: y= sin−1x and y= cos−1x • You must be careful with this notation. The function y = sin−1x is not the • same function as y = . The function, y = is y= cscx, the reciprocal • function for sinx, while the function y = sin−1x is called the inverse function • for sin x. • Another form is using y = arcsinx for the inverse of sine and y = arccosxfor • the inverse of cosine. This notation, y = arcsinx can be thought of as “the • arc whose sine is …” This connects the inverse back to the unit circle. • Both y = sin−1x and y = arcsinx mean exactly the same thing.

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