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Trigonometry> Solve for x cosx + (3) 1/2 sinx = 2cos2x ...

question mark

Solve for x
cosx + (3)^1/2sinx = 2cos2x
I would really appreciate if you reply soon.

Kawal , 11 Years ago

Grade 11

1 Answers

Jitender Singh

Ans:Hello student, please find answer to your question
$cosx + \sqrt{3}sinx = 2cos2x$
$\frac{1}{2}.cosx + \frac{\sqrt{3}}{2}sinx = \frac{2}{2}.cos2x$
$cos(a+b) = cosa.cosb - sina.sinb$
$cos(x - \frac{\pi }{3})= cos2x$
$2x = 2n\pi \pm (x - \frac{\pi }{3})$
$2x\mp x = 2n\pi \mp \frac{\pi }{3}$
$x = 2n\pi \mp \frac{\pi }{3}, \frac{1}{3}.(2n\pi \mp \frac{\pi }{3})$

Approved

Last Activity: 11 Years ago

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