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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (-cos(-pi/4+x))^2

simplify

(- cos (- \frac{π}{4} + x))^{2}

sin^{2} (\frac{π}{4} + x)

Solution steps

(- cos (- \frac{π}{4} + x))^{2}

Rewrite using trig identities

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

Simplify

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

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

Factor

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

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

Rewrite using trig identities

= sin^{2} (\frac{π}{4} + x)

cos (\frac{x}{- 3})

1 + cos (\frac{π}{2} - x)

sin (arctan (v))

csc (arctan (t))

sin (x + \frac{18 0 ^{\circ}}{3})