SOLUTION: Let θ be an angle in quadrant IV such that sinθ=-5/13 Find the exact values of and tanθ

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Question 975634: Let θ be an angle in quadrant IV such that sinθ=-5/13
Find the exact values of and tanθ
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
cos%5E2%28theta%29%2B%28-5%2F13%29%5E2=1
cos%5E2%28theta%29=1-25%2F169
cos%5E2%28theta%29=144%2F169
cos%28theta%29=12%2F13 since in Q4 cosine is positive.
tan%28theta%29=sin%28theta%29%2Fcos%28theta%29
tan%28theta%29=-%285%2F13%29%2F%2812%2F13%29
highlight%28tan%28theta%29=-5%2F12%29