SOLUTION: if 7 tan theta=4 then find the value of 7 sin theta-3 cos theta/7 sin theta+3 cos theta

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Question 1084288: if 7 tan theta=4 then find the value of 7 sin theta-3 cos theta/7 sin theta+3 cos theta
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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You are given that 7%2Atan%28theta%29 = 4.


Now  %287%2Asin%28theta%29-3%2Acos%28theta%29%29%2F%287%2Asin%28theta%29%2B3%2Acos%28theta%29%29 =     Divide numerator and denominator by cos(theta). You will get


= %287%2Atan%28theta%29-3%29%2F%287%2Atan%28theta%29%2B3%29 =     Now replace  7%2Atan%28theta%29 by 4 in the numerator and denominator. You will get


= %284-3%29%2F%284%2B3%29 = 1%2F7.

Solved.