1. For a function to have an inverse, it must be _________ invertible one-to-one onto restricted reversible. To define the inverse sine function, we restrict the ___________ phase shift period range domain amplitude of the sine function to the interval ______________

2. The inverse sine, inverse cosine, and inverse tangent functions have the following domains and ranges. (Enter your answers in interval notation.)

(a) The function sin¹ has domain ________ and range________ (b) The function cos¹ has domain________and range__________

(c) The function tan¹ has domain_________and range__________

3. Find all angles between 0 and 180 satisfying the given equation. Round your answer to one decimal place. (Enter your answers as a comma-separated list.)

cos() = 3/7

=

4. Find all angles between 0 and 180 satisfying the given equation. Round your answer to one decimal place. (Enter your answers as a comma-separated list.)

tan() = 15

5. Rewrite the expression as an algebraic expression in x.

sin(tan¹(x))

6. A 17-ft ladder is leaning against a building. If the base of the ladder is 7 ft from the base of the building, what is the angle of elevation of the ladder? (Round your answer to one decimal place.) ____________ How high does the ladder reach on the building? (Round your answer to the nearest whole number.) ____________ ft