en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify cos(x-45)

Solution

simplify

cos (x - 4 5^{\circ})

Solution

sin (\frac{π}{4} + x)

Solution steps

cos (x - 4 5^{\circ})

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)

Popular Examples

simplify cos(-y-pi)simplify

cos (- y - π)

simplify sin((pix)/2-pi/4)simplify

sin (\frac{π x}{2} - \frac{π}{4})

simplify cot(180+x)simplify

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

simplify sin(2x+pi)simplify

sin (2 x + π)

simplify sec(arccsc(3x))simplify

sec (arccsc (3 x))

Frequently Asked Questions (FAQ)

What is cos(x-45) ?
The solution to cos(x-45) is sin(pi/4+x)