Question

Question #5789c

Answer 1

`23/25`

Explanation:

Answer 2

`11^@54 + k180^@`

Explanation:

`cos (2arcsin (1/5)` --> cos 2x with `sin x = 1/5`
Use trig identity:
`cos 2x = 1 - 2sin^2 x`
`cos 2x = 1 - 2/25 = 23/25`
Use calculator and unit circle -->
`cos 2x = 23/25` --> `2x = +- 23^@07 + k360^@` -->

`x = +- 11^@54 + k180^@`