What is (cos(pit-pi/4))^2 ?

The solution to (cos(pit-pi/4))^2 is ((sqrt(2)cos(pit)+sqrt(2)sin(pit))^2)/4

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simplify (cos(pit-pi/4))^2

simplify

(cos (π t - \frac{π}{4}))^{2}

\frac{( 2 cos ( π t ) + 2 sin ( π t ) ) ^{2}}{4}

Solution steps

cos^{2} (π t - \frac{π}{4})

Rewrite using trig identities

= (\frac{2 cos ( π t ) + 2 sin ( π t )}{2})^{2}

Simplify

(\frac{2 cos ( π t ) + 2 sin ( π t )}{2})^{2} : \frac{( 2 cos ( π t ) + 2 sin ( π t ) ) ^{2}}{4}

= \frac{( 2 cos ( π t ) + 2 sin ( π t ) ) ^{2}}{4}

9 - (3 cos (θ))^{2}

15 - 7 cos (4 x + π)

\frac{e ^{2 x}}{cos ( 5 x )}

- cos (- πn)

sin (3 t - \frac{3 π}{2})

What is (cos(pit-pi/4))^2 ?
The solution to (cos(pit-pi/4))^2 is ((sqrt(2)cos(pit)+sqrt(2)sin(pit))^2)/4