SOLUTION: what is the exact value of tan angle if sin angle = -3/5 and pi<angle<3pi/2

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Question 907650: what is the exact value of tan angle if sin angle = -3/5 and pi
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
sin%5E2%28theta%29%2Bcos%5E2%28theta%29=1
%28-3%2F5%29%5E2%2Bcos%5E2%28theta%29=1
9%2F25%2Bcos%5E2%28theta%29=1}
cos%5E2%28theta%29=25%2F25-9%2F25
cos%5E2%28theta%29=16%2F25
cos%28theta%29=0+%2B-+4%2F5
Since pi+%3C+theta+%3C+%283%2F2%29pi,
cos%28theta%29=-4%2F5
So then,
tan%28theta%29=sin%28theta%29%2Fcos%28theta%29
tan%28theta%29=%28-3%2F5%29%2F%28-4%2F5%29
highlight_green%28tan%28theta%29=3%2F4%29