What is cos(θ/2+30) ?

The solution to cos(θ/2+30) is (sqrt(3))/2 cos(θ/2)-1/2 sin(θ/2)

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simplify cos(θ/2+30)

simplify

cos (\frac{θ}{2} + 3 0^{\circ})

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

Solution steps

cos (\frac{θ}{2} + 3 0^{\circ})

Rewrite using trig identities

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

3 \cdot cos (- x) - 2 \cdot cos (x)

\frac{1}{3} cos (2 t - 2 π)

\frac{1}{2} (- cos (x^{2} + π))

cot (- x) cot (\frac{π}{2} - x)

4 cos (300 t - 3 0^{\circ})

What is cos(θ/2+30) ?
The solution to cos(θ/2+30) is (sqrt(3))/2 cos(θ/2)-1/2 sin(θ/2)