What is (tan(x-45))/2 ?

The solution to (tan(x-45))/2 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 (tan(x-45))/2

simplify

\frac{tan ( x - 4 5 ^{\circ} )}{2}

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

Solution steps

\frac{tan ( x - 4 5 ^{\circ} )}{2}

Rewrite using trig identities

= \frac{\frac{s i n ( x ) - c o s ( x )}{c o s ( x ) + s i n ( x )}}{2}

Apply the fraction rule:

\frac{\frac{b}{c}}{a} = \frac{b}{c \cdot a}

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

sin (\frac{( 3 π )}{2} - x)

tan (- 2 θ)

1 - (- sin (x))^{2}

cos (2 t - \frac{5 π}{6}) - sin (2 t)

tan (arcsin (a))

What is (tan(x-45))/2 ?
The solution to (tan(x-45))/2 is (sin(x)-cos(x))/(2(cos(x)+sin(x)))