Question

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

sqrt=square root

Answer 1

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))`