Solve the given equation.

sin theta = -0.45

How would I show my work for this? And the answer in the back is..
-0.47 + 2k(pi), 3.61 + 2k(pi)

So far I have..
sin^(-1)(sin theta) = sin^(-1)(-0.45)

theta = sin^(-1)(-0.45)

Question

Solve the given equation. 

sin theta = -0.45

How would I show my work for this? And the answer in the back is..
-0.47 + 2k(pi),   3.61 + 2k(pi)

So far I have..
sin^(-1)(sin theta) = sin^(-1)(-0.45)

theta = sin^(-1)(-0.45)

anonymous · Answer

Use tables or a high end, hand held math calculator.

If sin theta = -0.45, then theta = ArcSin[-0.45]=-0.466765 radians 
or -26.7437 degrees.