What is the general solution for tan(2y)=1 ?

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

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tan(2y)=1

tan (2 y) = 1

y = \frac{π}{8} + \frac{πn}{2}

Solution steps

tan (2 y) = 1

General solutions for

tan (2 y) = 1

2 y = \frac{π}{4} + πn

Solve

2 y = \frac{π}{4} + πn : y = \frac{π}{8} + \frac{πn}{2}

y = \frac{π}{8} + \frac{πn}{2}

(- 6 cos (x) + 2 sin (x))^{2} + 32 sin^{2} (x) = 48

tan (x) + 5 = \frac{15 - 3}{3}

5 cos^{2} (x) - cos (x) - sin^{2} (x) = 0

tan (x) csc (x) - 2 tan (x) = 3 csc (x) - 6

x, sin (x) = ln (y)

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