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3sin^2x = 2sinxcosx

Please could someone help me with this? I'm meant to find what sin or cos equals so that I can do the rest of the question but I don't understand how to work it out.

Thanks so much
 Dec 9, 2012
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I dont really understand what you mean when you write that you're meant to find what sin and cos equals. But here's the solution, solving for x.

3 sin^2 (x) = 2sin(x)cos(x)
3sin(x)sin(x) = 2sin(x)cos(x) divide by sin(x)

3sin(x) = 2cos(x) divide by cos(x) and note that sin(x)/cos(x) = tan (x) for all x

3tan(x) = 2

tan(x) = 2/3

x = arctan (2/3) This is not an exact value unfortunately

Hope this helps.
 Dec 9, 2012

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