What is the general solution for tan(2x+3)=1 ?

The general solution for tan(2x+3)=1 is x=-3/2+pi/8+(pin)/2

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tan(2x+3)=1

tan (2 x + 3) = 1

x = - \frac{3}{2} + \frac{π}{8} + \frac{πn}{2}

Solution steps

tan (2 x + 3) = 1

General solutions for

tan (2 x + 3) = 1

2 x + 3 = \frac{π}{4} + πn

Solve

2 x + 3 = \frac{π}{4} + πn : x = - \frac{3}{2} + \frac{π}{8} + \frac{πn}{2}

x = - \frac{3}{2} + \frac{π}{8} + \frac{πn}{2}

6 cos^{2} (x) - 5 cos (x) + 1 = 0

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

tan (\frac{x}{2}) = \frac{1}{3}

6 cos (x) = 5

6 cos (2 x) = 6 cos^{2} (x) - 5

What is the general solution for tan(2x+3)=1 ?
The general solution for tan(2x+3)=1 is x=-3/2+pi/8+(pin)/2