What is 1/2 tan(x+pi/4) ?

The solution to 1/2 tan(x+pi/4) is (sin(x)+cos(x))/(2(cos(x)-sin(x)))

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simplify 1/2 tan(x+pi/4)

simplify

\frac{1}{2} tan (x + \frac{π}{4})

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

Solution steps

\frac{1}{2} tan (x + \frac{π}{4})

Rewrite using trig identities

= \frac{1}{2} \cdot \frac{sin ( x ) + cos ( x )}{cos ( x ) - sin ( x )}

Simplify

\frac{1}{2} \cdot \frac{sin ( x ) + cos ( x )}{cos ( x ) - sin ( x )} : \frac{sin ( x ) + cos ( x )}{2 ( cos ( x ) - sin ( x ) )}

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

3 cos (2 θ - 6 0^{\circ}) - 2

sin (\frac{x}{2} + \frac{π}{2})

sin^{2} (x - \frac{π}{4})

cos (π - t)

cos (x - \frac{3 π}{2})

What is 1/2 tan(x+pi/4) ?
The solution to 1/2 tan(x+pi/4) is (sin(x)+cos(x))/(2(cos(x)-sin(x)))