Question

Q5 Q9.) Let theta be an angle in standard position. Name the quadrant in which theta lies

Answer 1

Sine is positive while cotangent is negative. So this must mean cosine is negative since cos/sin = cot. In other words, cotangent is the ratio of cosine over sine.

Because cosine is negative and sine is positive, this places theta in quadrant 2
This is where x < 0 and y > 0. Recall that on the unit circle, x = cos(theta) and y = sin(theta).

The answer is choice B) quadrant II

Answer 2

Sin$\theta$ > 0 so it can only be I or II
cot$\theta$ < 0 so it can only be II or IV
combining, ans is II