Math  /  Trigonometry

Question Determine the quadrant where θ\theta satisfies secθ>0\sec \theta > 0 and sinθ<0\sin \theta < 0.

Studdy Solution
Determine the quadrant where both conditions are met.
We need to find the quadrant where both cosθ>0\cos \theta>0 (which implies secθ>0\sec \theta>0) and sinθ<0\sin \theta<0. This is only true in the fourth quadrant.
Therefore, the terminal side of θ\theta lies in the fourth quadrant.

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