Evaluate cos theta and sin theta

User Generated

ythreereb3

Mathematics

Question Description

Suppose  -pi/2 < theta < 0 and tan theta= -9 Evaluate cos theta and sin theta

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Explanation & Answer

tan theta = - 9/1 = perpendicular/base

hypotenus = square root [(-9)^2+1^2] = sq.rt.(81+1) = sq,rt,82

-pi/2 < theta < 0 , theta is in fourth quadrent

cos theta is positive & sin theta is nagetive

  cos theta = 1/sq.rt.82

sin theta = -9/sq.rt.82

zngufrkcreg (133)
UC Berkeley

Anonymous
This is great! Exactly what I wanted.

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