Question

If sin(theta) = -0.89 determine two possible values for theta if 0 degrees < theta < 360 degrees.

Answer 1

θ, θ, 0, 360 Degree

Answer 2

well sin is negative in the 3rd and 4th quadrants

so find the value of theta

\[\theta = \sin^{-1}(0.89)\]

then the 3rd quadrant angle is

\[180 + \theta\]

and the 4th quadrant angle is

\[360 - \theta\]