What is sin^2(60+x) ?

The solution to sin^2(60+x) is (2+cos(2x)+sqrt(3)sin(2x))/4

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simplify sin^2(60+x)

simplify

sin^{2} (6 0^{\circ} + x)

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

Solution steps

sin^{2} (6 0^{\circ} + x)

Rewrite using trig identities

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

Simplify

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

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

Rewrite using trig identities

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

2 sin (1500 t - (\frac{π}{2}))

\frac{2}{n ^{2} π} cos (nπ)

sin (\frac{1}{tan ( x )})

2 (cos (x - \frac{2 π}{3}) + 2)

sin (\frac{x}{2} - 2 π)

What is sin^2(60+x) ?
The solution to sin^2(60+x) is (2+cos(2x)+sqrt(3)sin(2x))/4