Identify the quadrant for the angle θ satisfying the following conditions.
-$\tan \theta

Name: Identify the quadrant for the angle θ satisfying the following conditions. -$\tan \theta < 0$ and $\sin \theta < 0$ A) Quadrant IV B) Quadrant III C) Quadrant II D) Quadrant I
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Question

Identify the quadrant for the angle θ satisfying the following conditions.
-$\tan \theta < 0$ and $\sin \theta < 0$
A) Quadrant IV
B) Quadrant III
C) Quadrant II
D) Quadrant I

Quizplus · Accepted Answer

In Quadrant IV, sine is negative and tangent (which is sine divided by cosine) is negative because cosine is positive, making the ratio negative.

Identify the Quadrant for the Angle θ Satisfying the Following tan⁡θ<0\tan \theta < 0tanθ<0

Identify the Quadrant for the Angle θ Satisfying the Following $\tan \theta < 0$