Question

How do you solve the equation `3sinx-5=5sinx-4` for `-360^circ<=x<180^circ`?

Answer 1

I got `x=-30^@` and `x=-150^@`:

Explanation:

Have a look:

Hope it helps!

Answer 2

-pi/6; -(5pi)/5

Explanation:

3sin x - 5 = 5sin x - 4
-2sin x = 1
`sin x = - 1/2`
Trig table and unit circle give 2 solutions:
`x = - pi/6`, and `x = - (5pi)/6`
Answers inside (- 360, 0):
`-(5pi)/6` and `(-pi/6)`
Answers inside (0, 180): Zero