Question

Which statement about 214° is correct?

O A. tan 214° < 0
O B. sin 214° < 0
O C. cos 214° > 0

Answer 1

B.

Explanation:

214 degree terminates in the 3rd quadrant.

Sine and cosines are both negative there.

This means that sin(214)<0 and cos(214)<0.

If sine and cosine are both negative and since tangent is the quotient of them, then tangent is positive, or tan(214)>0.