SOLUTION: how do you find all the trigonometric functions if you are given sin radical 5 over 7 given that it is loacated in quadrant 1?

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Question 434239: how do you find all the trigonometric functions if you are given sin radical 5 over 7 given that it is loacated in quadrant 1?
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
From trigonometric identity %28Sinx%29%5E2%2B%28cosx%29%5E2=1, we find
%28cox%29%5E2=1-%28sinx%29%5E2=1-%28sqrt%285%2F7%29%29%5E2=1-%285%2F7%29=2%2F7, and cosx=sqrt%282%2F7%29.
To find tanx as you know tanx=sinx%2Fcosx=sqrt%285%2F7%29%2Fsqrt%282%2F7%29=sqrt%285%2F2%29
While cotanx=1%2Ftanx=1%2Fsqrt%285%2F2%29=sqrt%282%2F5%29. on the same way you can find
secx and cosecx.