Perform the calculation.
-csc ϴ 0 and sec ϴ 0
A)Quadrant IV
B)Quadrant II
C)Quadrant III
D)Quadrant I

Name: Perform the calculation. -csc ϴ > 0 and sec ϴ > 0 A)Quadrant IV B)Quadrant II C)Quadrant III D)Quadrant I
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Question

Perform the calculation.
-csc ϴ > 0 and sec ϴ > 0
A)Quadrant IV
B)Quadrant II
C)Quadrant III
D)Quadrant I

Quizplus · Accepted Answer

In trigonometry, csc(ϴ) = 1/sin(ϴ) and sec(ϴ) = 1/cos(ϴ). For both csc(ϴ) and sec(ϴ) to be positive, sin(ϴ) and cos(ϴ) must also be positive. This only occurs in Quadrant I, where both sine and cosine values are positive.

Perform the Calculation. -Csc ϴ > 0 and Sec ϴ > 0