HW Inverses
NO CALC
Name____________________________
Period ________
What is the restricted range for….
sin-1
cos-1
tan-1
Write each equation in the form of an Inverse relation.
2. .56 = sin x
1. .5 = cos x
3.
cos x =
11
21
4.
2
3
sin x =
Find the values of x that satisfy each equation.
− 3
=x
2
5. x = arcsin (−1)
6. arccos
7. cos −1 (−1) = x
8. tan −1 (1) = x
Evaluate each expression. Circle your final answer!
1
2
1
2
9. 𝑐𝑐𝑐𝑐𝑐𝑐 −1 (0)
10. 𝑐𝑐𝑐𝑐𝑐𝑐 −1 (− )
11. 𝑠𝑠𝑠𝑠𝑠𝑠−1 (− )
12. 𝑡𝑡𝑡𝑡𝑡𝑡−1 (0)
13. 𝑡𝑡𝑡𝑡𝑡𝑡−1 (−1)
14. 𝑠𝑠𝑠𝑠𝑠𝑠−1 (−

2

15. cos  cos −1

2 



1
2
18. tan  arcsin 

16. sin  cos −1




19. tan −1  tan
− 3

2 
π

3
√2
)
2


5
6
17. tan  cos −1 

3 
20. sin  arccos (−
)

2 

Graph each inverse function. Label the axis on each graph. State the domain and range of each
relation.
21. y = tan −1 x
22. y = arccos x
23. y = sin −1 x
Graph each inverse function. State Domain and Range. Label the axis on each graph.
24.
y = tan −1 x − π
25. y = arcsin( x − 4) + 2π
Determine if the following is TRUE or FALSE. Write TRUE or FALSE and justify your answer.
26. cos −1 x =
1
cos x