Answer:
θ = 45°, 225°
Step-by-step explanation:
There are two methods we can use to solve this problem. One method is to use the unit circle, and the other is to use a trig identity.
Using the unit circle, we can see that sine and cosine have the same value at 45° in the first quadrant, and at 225° in the third quadrant.
Alternatively, if we divide both sides of the equation by cos θ:
sin θ = cos θ
sin θ / cos θ = 1
tan θ = 1
We can then use a calculator or unit circle to find that θ = 45° or 225°.
