Michael D.
asked • 05/26/16Pre Calculus
Determine the quadrant when the terminal side of the angle lies according to the following conditions: sin (t) < 0, csc (t) > 0.
a) Quadrant I
b) Quadrant IV
c) Quadrant II
d) Quadrant III
a) Quadrant I
b) Quadrant IV
c) Quadrant II
d) Quadrant III
More
1 Expert Answer
James B. answered • 05/28/16
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Sine is less than 0 (negative) in quadrants 3 and 4.
cosecant (the reciprocal of sine) is > 0 (positive) in quadrants 1 and 2.
There is no quadrant where reciprocal functions have opposite signs.
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Mark M.
They must be of the same sign, i.e., both positive or both negative.
Check the problem.
05/26/16