What is the general solution for tan(θ/2+pi/4)=-1 ?

The general solution for tan(θ/2+pi/4)=-1 is θ=2pin+pi

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tan(θ/2+pi/4)=-1

tan (\frac{θ}{2} + \frac{π}{4}) = - 1

θ = 2 πn + π

Solution steps

tan (\frac{θ}{2} + \frac{π}{4}) = - 1

General solutions for

tan (\frac{θ}{2} + \frac{π}{4}) = - 1

\frac{θ}{2} + \frac{π}{4} = \frac{3 π}{4} + πn

Solve

\frac{θ}{2} + \frac{π}{4} = \frac{3 π}{4} + πn : θ = 2 πn + π

θ = 2 πn + π

2 cos^{2} (θ) - 11 cos (θ) + 5 = 0

4 sin (2 x) - 1 = 0

cos (2 x) - 3 sin (2 x) = 0

x, cos (x) + sin (x) = 0

sin (x) (2 cos (x) - 1) = 0

What is the general solution for tan(θ/2+pi/4)=-1 ?
The general solution for tan(θ/2+pi/4)=-1 is θ=2pin+pi