how do I find theta for the equation sin θ = -0.9063 with the given interval of (270 degrees, 360 degrees)

1 answer

Set your calculator to DEG (degrees) if it isn't already set to it.
consider sin θ = + 0.9063
θ = 64.999, lets call it 65°
This is the angle in "standard position".
However, you are told that θ is in quadrant IV
so θ = 360-65 degrees
θ = 295°

verify by taking sin 295° on your calculator