What is cos(x-(3pi)/4) ?

The solution to cos(x-(3pi)/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-(3pi)/4)

simplify

cos (x - \frac{3 π}{4})

sin (- \frac{π}{4} + x)

Solution steps

cos (x - \frac{3 π}{4})

Rewrite using trig identities

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

Factor

- cos (x) 2 + sin (x) 2 : 2 (- cos (x) + sin (x))

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

Rewrite using trig identities

= sin (- \frac{π}{4} + x)

tan (π - θ) + cot (\frac{π}{2} - θ)

cos^{2} (π + θ) + sin^{2} (π + θ)

cos (- 2 θ)

sin (arcsin (t))

sin (\frac{π}{2} - y)