What is cos(x)+sin(x-(pi/6)) ?

The solution to cos(x)+sin(x-(pi/6)) is 1/2 cos(x)+(sqrt(3))/2 sin(x)

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simplify cos(x)+sin(x-(pi/6))

simplify

cos (x) + sin (x - (\frac{π}{6}))

\frac{1}{2} cos (x) + \frac{3}{2} sin (x)

Solution steps

cos (x) + sin (x - (\frac{π}{6}))

Rewrite using trig identities

= cos (x) + \frac{3}{2} sin (x) - \frac{1}{2} cos (x)

Simplify

cos (x) + \frac{3}{2} sin (x) - \frac{1}{2} cos (x) : \frac{1}{2} cos (x) + \frac{3}{2} sin (x)

= \frac{1}{2} cos (x) + \frac{3}{2} sin (x)

\frac{1}{sec ^{2} ( θ )}

cos (3 π - 3 x)

sin (- 1 (x) d x)

cos (arcsin (\frac{y}{5}))

(1 - sin^{2} (θ))^{\frac{3}{2}}

What is cos(x)+sin(x-(pi/6)) ?
The solution to cos(x)+sin(x-(pi/6)) is 1/2 cos(x)+(sqrt(3))/2 sin(x)