SOLUTION: If tan theta= -7/24 and theta is in the second quadrant, find sin theta.

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Question 894266: If tan theta= -7/24 and theta is in the second quadrant, find sin theta.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
tan%28theta%29=+-7%2F24
Second quadrant, cosine is negative, sine is positive
sin%28theta%29=7%2FR
cos%28theta%29=-24%2FR
%287%2FR%29%5E2%2B%28-24%2FR%29%5E2=1
49%2B576=R%5E2
R%5E2=625
R=25
So then,
sin%28theta%29=7%2F25