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

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

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

simplify

\frac{1}{4} tan (x - \frac{π}{4})

\frac{sin ( x ) - cos ( x )}{4 ( cos ( x ) + sin ( x ) )}

Solution steps

\frac{1}{4} tan (x - \frac{π}{4})

Rewrite using trig identities

= \frac{1}{4} \cdot \frac{sin ( x ) - cos ( x )}{cos ( x ) + sin ( x )}

Simplify

\frac{1}{4} \cdot \frac{sin ( x ) - cos ( x )}{cos ( x ) + sin ( x )} : \frac{sin ( x ) - cos ( x )}{4 ( cos ( x ) + sin ( x ) )}

= \frac{sin ( x ) - cos ( x )}{4 ( cos ( x ) + sin ( x ) )}

1 + tan^{2} (C)

\frac{d x}{sin ( x )}

cos (- \frac{3 π}{2} + x)

tan (arcsin (\frac{a}{4}))

sin (π - \frac{θ}{2})

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