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

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

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simplify tan(x/2+pi/4)

simplify

tan (\frac{x}{2} + \frac{π}{4})

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

Solution steps

tan (\frac{x}{2} + \frac{π}{4})

Rewrite using trig identities

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

csc (π + x)

cot (3 π - θ)

sin (θ + 18 0^{\circ})

cos (x + \frac{2 π}{3})

sin (3 x + π)

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