What is sin^2((3pi)/2+a) ?

The solution to sin^2((3pi)/2+a) is cos^2(a)

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simplify sin^2((3pi)/2+a)

simplify

sin^{2} (\frac{3 π}{2} + a)

cos^{2} (a)

Solution steps

sin^{2} (\frac{3 π}{2} + a)

Rewrite using trig identities

= (- cos (a))^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(- cos (a))^{2} = cos^{2} (a)

= cos^{2} (a)

sin (2 nπ + π)

cos (πn + π)

sin (π - t)

cot (arccos (\frac{12 x}{13}))

- (sin (- x))