simplify cos(2x+30)

Solution

simplify

cos (2 x + 3 0^{\circ})

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

Solution steps

cos (2 x + 3 0^{\circ})

Rewrite using trig identities

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

cos (arctan (x \frac{1}{3}))

2 + sin (x - \frac{π}{2})

3 sin (8 x + \frac{π}{2})

cos (\frac{2 π}{105} x - y)

csc (θ - \frac{3 π}{2})

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