simplify cos(150+x)

Solution

simplify

cos (15 0^{\circ} + x)

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

Solution steps

cos (15 0^{\circ} + x)

Rewrite using trig identities

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

cot (arcsin (\frac{1}{v}))

tan (45 0^{\circ} - x)

sin (\frac{3}{2} π + x)

tan (1 + tan^{2} (x))

sin (arccos (4 x))

What is cos(150+x) ?
The solution to cos(150+x) is -(sqrt(3))/2 cos(x)-1/2 sin(x)