Question

What is the value of theta

Answer 1

Answer:-55

Explanation:

Sin(theta)=-0.8190

theta=sinINVERSE(-0.8190)

theta=-55

Answer 2

235,305

Explanation:

sin theta = -.8190

Take the arcsin of each side

arcsin sin theta = arcsin -.8190

theta = -54.9825

But that is not between 0 and 360

so add 360

360+-54.9825 = 305.0175

It is also in the third quadrant because of the negative sin

theta = 180+ 54.9825 = 234.9825

To the nearest degree 305 and 235