Question

If sin A > 0 and tan A < 0, then A is in what quadrant?

Answer 1

@ranga @mathmale

Answer 2

Quadrant 2

The sine is greater than 0, so it's positive... Since the sine represents y, then it must be in quadrant 1 or 2, since 3 and 4 would have negative sines.

For tangent to be less than 0, or negative, sine and cosine must differ in sign, since tangent is sine/cosine or y/x. We already know sine(y) is positive, so cosine(x) must be negative, which would only be in quadrants 2 and 3.

Quadrant two fits both criteria for the conditions of sine and tangent so it is the answer.