simplify 4sin(30+x)

Solution

simplify

4 sin (3 0^{\circ} + x)

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

Solution steps

4 sin (3 0^{\circ} + x)

Rewrite using trig identities

= 4 (\frac{1}{2} cos (x) + \frac{3}{2} sin (x))

7 sec^{2} (x) - 7

cos (arcsin (arcsin (2 x)))

cot (arcsin (3 x + 3))

cos (\frac{π}{2} - 5 π x)

tan (arcsin (\frac{x}{9}))

What is 4sin(30+x) ?
The solution to 4sin(30+x) is 4(1/2 cos(x)+(sqrt(3))/2 sin(x))