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 Depdendent Variable

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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Inverse Trigonometric Functions Workshop

1. The inverse of a function f (x), if it exists, is denoted f -1(x). The range of f -1(x) is equal to the
domain of f (x). However, the domain of sin x is “all real numbers,” but the range of sin-1 x is  .
Why is this?

It might help to answer the following question first: Why is not the inverse of g (x) = x2?
Also, has an inverse: what would f -1(x) be?

2. Let c be some constant. The numbers sin-1(c), cos-1(c), and tan-1(c) are best described as

(a) areas.
(b) angles.
(c) x-coordinates.
(d) y-coordinates.

3. Let c be some constant. The number sin(c) is best described as

(a) an area.
(b) an angle.
(c) an x-coordinate.
(d) a y-coordinate.

4. Let c be some constant. The number cos(c) is best described as

(a) an area.
(b) an angle.
(c) an x-coordinate.
(d) a y-coordinate.

5. Use the calibrated unit circle below to approximate the following. If the answer does not exist, say so.

Evaluate the following:

(h) , where A and B are positive numbers.

(i)

(j) , where

(k) , where