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^{4} (- cos^{4} (x))

- sin (- 3 x)

sin (arcsec (\frac{x}{3}))

1 - cos^{2} (θ)

sin (x + \frac{3 π}{2})

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))