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Match each θ with its corresponding quadrant location

1. cos θ= -15/13, tan θ is negative

2. tan θ= 3/4, sec θ is negative

3. cot θ= -3π/2 ≤ 0

4. csc θ= -2, cot=-√3


Quadrant 1
Quadrant 2
Quadrant 3
Quadrant 4

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Correct choices are listed below:

  1. Quadrant 2
  2. Quadrant 1
  3. Quadrant 3
  4. Quadrant 4

In this question we need to analyze each pair of trigonometric reasons to determine in which quadrant each angle is set.

  1. Cosine is negative at quadrants 2 and 3 and tangent is negative at quadrants 2 and 4. Thus, we conclude that the angle is located at quadrant 2.
  2. Tangent is positive at quadrants 1 and 3 and secant is positive at quadrants 1 and 4. Thus, we conclude that the angle is located at quadrant 1.
  3. By discarding choices, we conclude that angle is located at quadrant 3.
  4. Cosecant is negative at quadrants 3 and 4 and cotangent is negative at quadrants 2 and 4. Thus, we conclude that the angle is located at quadrant 4.

To learn more on trigonometric reasons, we kindly invite to check this verified question: https://brainly.com/question/1201366

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