Question

If sin 0 = cos 0, in which quadrant(s) couldthe terminal side of angle O lie?A. I onlyB. III onlyC. I and IIID. II and IVI need work shown please

Answer 1

For an angle to have the exact same value for sine and cosine, it has to be located in a quadrant where both sine and cosine have the same sign. Those quadrants are 1 and 3. In quadrant 1, both sine and cosine are positive, and in quadrant 3 both sine and cosine are negative.

In quadrants 2 and 4, there are angles where sine and cosine could have the same magnitude, but not the same sign.

Therefore, correct answer is C.