SOLUTION: Determine the quadrant containing the terminal side of θ under the given conditions. csc θ > 0 and sec θ > 0 A) Quadrant III B) Quadrant II C) Qu

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Question 1097871: Determine the quadrant containing the terminal side of θ under the given conditions.
csc θ > 0 and sec θ > 0

A) Quadrant III

B) Quadrant II

C) Quadrant IV

D) Quadrant I
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
if cosecant is positive, then sine is positive since cosecant is the reciprocal of sine.

if secant is positive, then cosine is positive since secant is the reciprocal of cosine.

on the graph of the unit circle, sine is equivalent to y and cosine is equivalent to x.

x and y are positive in the first quadrant only.

in the second quadrant, x is negative.
in the third quadrant x and y are negative.
in the fourth quadrant y is negative.

here's a reference:

http://www.sparknotes.com/math/trigonometry/trigonometricfunctions/section3.rhtml




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