Question

Determine the quadrant when the terminal side of the angle lies according to the following conditions: sin (t) > 0, cos (t) < 0.

Quadrant III

Quadrant I

Quadrant II

Quadrant IV

Answer 1

sin (t) > 0 and cos (t) < 0 only in Quadrant II

.

Answer 2

C. Quadrant II.

Explanation:

Given the condition on sin and cosine is sin(t) greater than 0 and cosine less than 0.

sin(t) is greater than 0 only in two quadrant first and second only .

cos(t) is less than 0 0nly in two quadrant first and third only.

but we are given that cos(t) less than zero and sin(t) greater than 0.

Hence, the correct answer is second quadrant in which sin(t) positive and cos(t) negative .