SOLUTION: 5 tanx cos^2x -3sin^2x =0

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Question 757559: 5 tanx cos^2x -3sin^2x =0
Answer by lwsshak3(11628) About Me  (Show Source):
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5 tanx cos^2x -3sin^2x =0
5tan%28x%29cos%5E2%28x%29-3sin%5E2%28x%29=0
%285sin%28x%29%2Fcos%28x%29%29cos%5E2%28x%29-3sin%5E2%28x%29=0
5sin%28x%29cos%28x%29-3sin%5E2%28x%29=0
sin%28x%29%285cos%28x%29-3sin%28x%29%29=0
sin(x)=0
x=0
or
5cos%28x%29-3sin%28x%29=0
5sqrt%281-sin%5E2%28x%29%29=3sin%28x%29
25%281-sin%5E2%28x%29%29=9sin%5E2%28x%29
25-25sin%5E2%28x%29%29=9sin%5E2%28x%29
25-34sin%5E2%28x%29%29=0
sin%5E2%28x%29=25%2F34
sin(x)=5/√34
x≈59.04º