What is sqrt(2)cos(α+pi/4) ?

The solution to sqrt(2)cos(α+pi/4) is cos(α)-sin(α)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify sqrt(2)cos(α+pi/4)

simplify

2 cos (α + \frac{π}{4})

cos (α) - sin (α)

Solution steps

2 cos (α + \frac{π}{4})

Rewrite using trig identities

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

Simplify

2 \frac{2 cos ( α ) - 2 sin ( α )}{2} : cos (α) - sin (α)

= cos (α) - sin (α)

sin (arctan (x \frac{1}{3}))

x + 9 cos (x + π)

tan (x + 18 0^{\circ})

cos (\frac{( - n p i )}{2})

sin (2 π - arccos (w))

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