Question

How do you solve `sin(theta)= -9/sqrt(97)`?

Answer 1

`246^@14 + k180^@`
`293^@96 + k180^@`

Explanation:

`sin t = - 9/sqrt97 = - 0.914`
Calculator gives -->
`t = - 66^@14`, or `t = 293^@96` (co-terminal)
Unit circle gives another arc t that has the same sin value (- 0.914):
`t = 180 - (66.14) = 246^@14`
General answers:
`246.14 + k180^@`
`293^@96 + k180^@`