1
Inverse Trigonometric Functions- HW Problems
Evaluate.
1
1. sin−1 ( )
2
2. tan−1 (1)
√3
3. arccos (− )
2
13𝜋
4. sin−1 [sin ( )]
3
1
5. tan[cos−1 ( )]
4
6. cos [tan−1 (𝑥 )]
Find the derivatives of the following functions
7. 𝑦 = sin−1 (𝑥 4 )
8. 𝑓(𝑥 ) = [tan−1 (𝑥 3 )]2
9. 𝑦 = sin−1 (3𝑥 + 2)
10. 𝑦 = sin−1 [√cos(3𝑥 )]
1
11. 𝑔(𝑥 ) = tan−1 ( )
𝑥
12. 𝑓 (𝑡) = cos−1 (𝑡) + cot −1 (𝑡)
13. 𝑦 = [sin−1 (𝑥 )][tan−1 (𝑥)]
Inverse Trigonometric Functions- HW Problems
Evaluate.
1
1. sin−1 ( )
2
2. tan−1 (1)
√3
3. arccos (− )
2
13𝜋
4. sin−1 [sin ( )]
3
1
5. tan[cos−1 ( )]
4
6. cos [tan−1 (𝑥 )]
Find the derivatives of the following functions
7. 𝑦 = sin−1 (𝑥 4 )
8. 𝑓(𝑥 ) = [tan−1 (𝑥 3 )]2
9. 𝑦 = sin−1 (3𝑥 + 2)
10. 𝑦 = sin−1 [√cos(3𝑥 )]
1
11. 𝑔(𝑥 ) = tan−1 ( )
𝑥
12. 𝑓 (𝑡) = cos−1 (𝑡) + cot −1 (𝑡)
13. 𝑦 = [sin−1 (𝑥 )][tan−1 (𝑥)]
