Prove the identity? sin((pi/(6))+x)=(1)/(2)(cos x +sqrt(3sinx)))

sqrt=square root

1 Answer
Hriman
Mar 1, 2018

Use the sin sum identity

Explanation:

sin((pi/(6))+x)=(1)/(2)(cos x +sqrt(3sinx))
sin(pi/6)cosx+cos(pi/6)sinx= (1)/(2)(cos x +sqrt(3sinx))
cosx/2+(sqrt(3)sinx)/2= (1)/(2)(cos x +sqrt(3sinx))
1/2(cosx+(sqrt(3)sinx))= (1)/(2)(cos x +sqrt(3sinx))

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