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NO LINKS!! URGENT HELP PLEASE!!

Let θ be an angle in standard position. Name the quadrant in which θ lies

1. sin θ > 0, cos θ > 0
2. sin θ < 0, cos θ < 0
3. tan θ < 0, cos θ < 0

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msm555

Answer:

1. Quadrant I

2. Quadrant III

3. Quadrant II

Step-by-step explanation:

1. sin θ > 0, cos θ > 0

Quadrant I: Both sine and cosine are positive in Quadrant I, so this is the correct quadrant.

2. sin θ < 0, cos θ < 0

Quadrant III: Both sine and cosine are negative in Quadrant III, so this is the correct quadrant.

3. tan θ < 0, cos θ < 0

Quadrant II: Tangent is negative when sine is negative and cosine is positive. However, we're given that cosine is also negative. This combination occurs only in Quadrant II, so this is the correct quadrant.

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