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

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

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

simplify

2 tan (x - \frac{π}{4}) - 2

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

Solution steps

2 tan (x - \frac{π}{4}) - 2

Rewrite using trig identities

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

Multiply

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

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

cos (π + kπ)

\frac{sin ( - 3 x )}{sin ( 9 x )}

cos (27 0^{\circ} + a)

cos (a) + cos (18 0^{\circ} - a)

cos (x + 21 0^{\circ})

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