Question

If `sin (x) = 27/40` how do you solve for x?

Answer 1

Solve `sin x = 27/40`

Ans: 42.45 and 137.55 `(0, 2pi)`

Explanation:

`sin x = 27/40 = 0.675`. Use calculator.
sin x = 0.675 --> arc `x = 42.45^@`
Unit circle gives another arc x that has the same sin value:
`x = 180 - 42.45 = 137^@55`