SOLUTION: Find the exact value of the 5 remaining trig functions if SIN OF THETA IS -5/7 and COS OF THETA IS LESS THAN ZERO

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Question 902998: Find the exact value of the 5 remaining trig functions if SIN OF THETA IS -5/7 and COS OF THETA IS LESS THAN ZERO
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
25%2F49%2Bcos%5E2%28theta%29=1
cos%5E2%28theta%29=49%2F49-25%2F49
cos%5E2%28theta%29=24%2F49
cos%28theta%29=sqrt%2824%29%2F7
cos%28theta%29=%282%2F7%29sqrt%286%29
So then,
tan%28theta%29=sin%28theta%29%2Fcos%28theta%29
tan%28theta%29=%28-%285%2F7%29%29%2F%28%282%2F7%29sqrt%286%29%29
tan%28theta%29=%28-5%2F2%29%281%2Fsqrt%286%29%29
tan%28theta%29=%28-5%2F2%29%28sqrt%286%29%2F6%29
tan%28theta%29=-%285%2F12%29sqrt%286%29
The co-functions are just the inverses of these values.