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

Question

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

Quizplus · Accepted Answer

In the coordinate system, sine is positive in the first and second quadrants, and cosine is positive in the first and fourth quadrants. Therefore, when both sine and cosine are positive, the angle must be in the first quadrant.

Identify the Quadrant for the Angle θ Satisfying the Following sin⁡θ>0\sin \theta > 0sinθ>0

Identify the Quadrant for the Angle θ Satisfying the Following $\sin \theta > 0$