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kaitedate
 3 years ago
given tan theta= 1/2, pi<theta<3 pi/2 find sin 2 theta
kaitedate
 3 years ago
given tan theta= 1/2, pi<theta<3 pi/2 find sin 2 theta

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apple_pi
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1358913683596:dw First off, theta is in 3rd quadrant. So sin theta is negative, cos theta is negative Tan theta = 1/2 so by the triangle, sin theta = 1/sqrt(5), cos theta = 2/sqrt(5) NOTE: sin (2x) = 2sin(x)cos(x) sin(2 theta) = 2 * (1/sqrt(5)) * (2/sqrt(5)) = 4/5
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