MATH SOLVE

4 months ago

Q:
# if sinθ <0 and tanθ <0 then:A. 180°<θ<270°B. 270°<θ<360°C. 0°<θ<90°D. 90°<θ<180°

Accepted Solution

A:

sin(θ) < 0 is another way of saying the sin(θ) is negative, and that happens on Quadrants III and IV.tan(θ) < 0 is another way of saying the tan(θ) is negative, and since tangent = sine/cosine, that can only happen when the sine and cosine are both of different signs, and that only occurs on Quadrants II and IV.when is the sine negative as well as the tangent? when the sine is negative and the cosine is positive, and that'd be on Quadrant IV, 270° < θ < 360°.