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

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

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simplify tan(pi/4-x/2)

simplify

tan (\frac{π}{4} - \frac{x}{2})

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

Solution steps

tan (\frac{π}{4} - \frac{x}{2})

Rewrite using trig identities

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

sin (108 0^{\circ} - x)

cos (arctan (x + 0.5))

csc^{2} (- csc^{2} (x))

sin (- 7 π + x)

e^{3 t} cos (t + π)

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