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

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

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simplify-cos(x+pi/6)

simplify

- cos (x + \frac{π}{6})

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

Solution steps

- cos (x + \frac{π}{6})

Rewrite using trig identities

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

Simplify

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

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

tan (- cot (a))

cos (nπ - π)

cot (4 5^{\circ} - \frac{x}{2})

cos^{2} (100 x + \frac{π}{3})

cos (n - π)

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