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

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

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simplify tan(y/2+pi/4)

simplify

tan (\frac{y}{2} + \frac{π}{4})

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

Solution steps

tan (\frac{y}{2} + \frac{π}{4})

Rewrite using trig identities

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

cos (2 πk)

csc (x - 18 0^{\circ})

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

4 sec (x - \frac{π}{3})

sin (x - \frac{2 π}{3}) - sin (x)

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