Find Values (Details Below)

Question

Find all values of

θ

if

θ

is in the interval

​[0°​,360°​)

and has the given function value.

                                               

sin(theta)~0.6492916

Answer 1

To find the 1st angle, take the inverse sine:

sin-¹(0.6492916) = 40.488°

Then you need to look at the unit circle to see what other values of θ will also give the same sine value. Remember that sin(θ) is the y-value so you are looking for other places on the unit circle that have the same y-value as 40.488°