Solving Trigonometric Equations, Thank you!

Question

Solve  on the interval 

The solution(s) is/are  

Give your answers accurate to 3 decimal places

Answer 1

Solve sin(x)=−0.7 on the interval 0≤x<2π. Give your answers accurate to 3 decimal places

1. You know sine is negative in the 3rd and 4th quadrant (so between 180° and 360°), so expect that range for your answer.
2. take the inverse sine of both sides
3. sin^-1 sin(x) = sin^-1 (-0.7)
4. x = -44.4270° (add that to 360°)
5. x = 315.573°

Answer 2

The sine function is negative in quadrants 3 and 4.

Sin^-1(0.7) = 0.775397 = Reference angle in radians

So, if sinx = -0.7, then x = π + 0.775 or 2π - 0.775 = 3.917 or 5.508