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16 September, 08:22

How to solve tan (x+π) + 2sin (x+π) = 0?

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  1. 16 September, 11:48
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    We are asked in the problem to solve for x in the expression tan (x+π) + 2sin (x+π) = 0. tan theta is equal to sin theta over cos theta. Hence, the expression results to tan (x+π) = sin (x+π) / cos (x+π) = - 2sin (x+π). Thus, 1/cos (x+π) = - 2. cos (x+π) = - 1/2, cosine becomes negative in the third and fourth quadrants. cosine is 1/2 when the terminal angle is pi/3. x is equal to pi/3 then and 5 pi/6.
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