What is cos^2(30-x) ?

The solution to cos^2(30-x) is (2+cos(2x)+sqrt(3)sin(2x))/4

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simplify cos^2(30-x)

simplify

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

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

Solution steps

cos^{2} (3 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}

tan (x + 5 π)

sin (x) + sin (π - x)

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

cos (θ + π) - sin (θ - π)

\frac{115.2}{153.8208 cot ( θ )}

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