simplify sin(120-a)

Solution

simplify

sin (12 0^{\circ} - a)

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

Solution steps

sin (12 0^{\circ} - a)

Rewrite using trig identities

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

arctan (tan (x + \frac{π}{8}))

sin (- 1 (x))

cos (9 0^{\circ} + θ) + sin (θ)

cos (4 x - \frac{π}{2})

3 + tan (x - \frac{π}{3})

What is sin(120-a) ?
The solution to sin(120-a) is (sqrt(3))/2 cos(a)+1/2 sin(a)