State the quadrant in which $\theta$ lies. $\cot ( \theta ) 0$ A) Quadrant III B) Quadrant I C) Quadrant IV D) Quadrant II E) Quadrant I or Quadrant III

Name: State the quadrant in which $\theta$ lies. $\cot ( \theta ) 0$ A) Quadrant III B) Quadrant I C) Quadrant IV D) Quadrant II E) Quadrant I or Quadrant III
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Question

State the quadrant in which $\theta$ lies.
$\cot ( \theta ) < 0 \text { and } \sec ( \theta ) > 0$
A) Quadrant III
B) Quadrant I
C) Quadrant IV
D) Quadrant II
E) Quadrant I or Quadrant III

Quizplus · Accepted Answer

Cotangent is negative and secant is positive in the fourth quadrant, where cosine is positive and tangent (and thus cotangent) is negative.

State the Quadrant in Which θ\thetaθ Lies cot⁡(θ)<0 and sec⁡(θ)>0\cot ( \theta ) < 0 \text { and } \sec ( \theta ) > 0cot(θ)<0 and sec(θ)>0

State the Quadrant in Which $\theta$ Lies $\cot ( \theta ) < 0 \text { and } \sec ( \theta ) > 0$