What is sin^2(x-pi/4) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sin^2(x-pi/4)

simplify

sin^{2} (x - \frac{π}{4})

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

Solution steps

sin^{2} (x - \frac{π}{4})

Rewrite using trig identities

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

Simplify

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

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

cos (π - t)

cos (x - \frac{3 π}{2})

cos (2 t - 2 π)

(cos (2 π t + 2 π t))^{2}

sin (arccos (x - 1))

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