What is 1/2 tan(x-pi/4) ?

The solution to 1/2 tan(x-pi/4) is (sin(x)-cos(x))/(2(cos(x)+sin(x)))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/2 tan(x-pi/4)

simplify

\frac{1}{2} tan (x - \frac{π}{4})

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

Solution steps

\frac{1}{2} tan (x - \frac{π}{4})

Rewrite using trig identities

= \frac{1}{2} \cdot \frac{sin ( x ) - cos ( x )}{cos ( x ) + sin ( x )}

Simplify

\frac{1}{2} \cdot \frac{sin ( x ) - cos ( x )}{cos ( x ) + sin ( x )} : \frac{sin ( x ) - cos ( x )}{2 ( cos ( x ) + sin ( x ) )}

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

sin (a - 3 0^{\circ})

sin (\frac{π}{2} - arcsin (x))

sec (- 4 x)

cos (arccsc (3 x - 3))

sin (- n x)

What is 1/2 tan(x-pi/4) ?
The solution to 1/2 tan(x-pi/4) is (sin(x)-cos(x))/(2(cos(x)+sin(x)))