What is cos^2(30+a) ?

The solution to cos^2(30+a) is 3/4 cos^2(a)-(sqrt(3))/2 cos(a)sin(a)+1/4 sin^2(a)

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simplify cos^2(30+a)

simplify

cos^{2} (3 0^{\circ} + a)

\frac{3}{4} cos^{2} (a) - \frac{3}{2} cos (a) sin (a) + \frac{1}{4} sin^{2} (a)

Solution steps

cos^{2} (3 0^{\circ} + a)

Rewrite using trig identities

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

Simplify

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

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

sec (x - 9 0^{\circ})

sin^{2} (π - x)

cos (u + 2 π)

csc (- sin (x))

sec (- x) tan (- x)

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