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

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

simplify

- cos (x + \frac{π}{4})

sin (- \frac{π}{4} + x)

Solution steps

- cos (x + \frac{π}{4})

Rewrite using trig identities

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

Rewrite using trig identities

= - \frac{1 - tan ( x )}{sec ( x ) 2}

Factor

- \frac{1 - tan ( x )}{sec ( x ) 2} : - \frac{- 2 ( tan ( x ) - 1 )}{2 sec ( x )}

= - \frac{- ( - 1 + tan ( x ) ) 2}{2 sec ( x )}

Express with sin, cos

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

Rewrite using trig identities

= sin (- \frac{π}{4} + x)

sin (\frac{π}{2} + a)

- 2 sin (x - 3 π) + 1

cos (π - a)

4 sin (π x + \frac{π}{2})

cos^{2} (x + 4 5^{\circ})

What is simplify-cos(x+pi/4) ?
The solution to simplify-cos(x+pi/4) is sin(-pi/4+x)