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

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

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tan(2x-pi/4)=-1

tan (2 x - \frac{π}{4}) = - 1

x = \frac{πn}{2} + \frac{π}{2}

Solution steps

tan (2 x - \frac{π}{4}) = - 1

General solutions for

tan (2 x - \frac{π}{4}) = - 1

2 x - \frac{π}{4} = \frac{3 π}{4} + πn

Solve

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

x = \frac{πn}{2} + \frac{π}{2}

2 sin^{2} (A) = 5 sin (A) - 2

cot (θ) = \frac{12}{5}

θ, cos (θ) = - \frac{1}{2}

- 3 sin (b) - 2 = sin (b) - 2

5 sin (2 x) = 2 cos (2 x)

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