Question

If sin⁡ θ>0 and tan⁡ θ<0, in which quadrant does the terminal side of θ lie?

Answer 1

Quadrant IV

Explanation:

For an angle in the fourth quadrant the point P has positive x coordinate and negative y coordinate. Therefore: In Quadrant IV, cos(θ) > 0, sin(θ) < 0 and tan(θ) < 0 (Cosine positive). The quadrants in which cosine, sine and tangent are positive are often remembered using a favorite mnemonic.