What is (cos(x)-sin(x))^2 ?

The solution to (cos(x)-sin(x))^2 is -sin(2x)+1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (cos(x)-sin(x))^2

simplify

(cos (x) - sin (x))^{2}

- sin (2 x) + 1

Solution steps

(cos (x) - sin (x))^{2}

Expand

(cos (x) - sin (x))^{2} : cos^{2} (x) - 2 cos (x) sin (x) + sin^{2} (x)

= cos^{2} (x) + sin^{2} (x) - 2 cos (x) sin (x)

Rewrite using trig identities

= - sin (2 x) + 1

cos (x) tan (x)

\frac{sec ^{2} ( x )}{tan ( x )}

\frac{a - 30 y}{a ^{2} - 100 y ^{2}} - \frac{10 y}{10 a y - a ^{2}}

(7 x - 10)^{2}

\frac{x ^{2} - 5 x + 6}{x ^{2} + 2 x - 8}