What is (cos(2t-(3pi)/4))^2 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (cos(2t-(3pi)/4))^2

simplify

(cos (2 t - \frac{3 π}{4}))^{2}

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

Solution steps

cos^{2} (2 t - \frac{3 π}{4})

Rewrite using trig identities

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

Simplify

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

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

sin (24 π + x)

csc (π + t)

cos^{2} (100 t + \frac{π}{3})

csc (arctan (v))

1 - sin^{2} (x) x

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