SOLUTION: please help me solve this show that 2cosx=3tanx can be written in sinx

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Question 1075850: please help me solve this
show that 2cosx=3tanx can be written in sinx
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

2cos%28x%29=3tan%28x%29............recall that tan%28x%29=sin%28x%29%2Fcos%28x%29
2cos%28x%29=3sin%28x%29%2Fcos%28x%29
2cos%28x%29%2Acos%28x%29=3sin%28x%29
2cos%5E2%28x%29=3sin%28x%29..........recall that cos%5E2%28x%29=1-sin%5E2%28x%29
2%281-sin%5E2%28x%29%29=3sin%28x%29
2+-2sin%5E2%28x%29=3sin%28x%29
2+=2sin%5E2%28x%29%2B3sin%28x%29
2sin%5E2%28x%29%2B3sin%28x%29-2=0