What is the general solution for cot(2x)-1=0 ?

The general solution for cot(2x)-1=0 is x= pi/8+(pin)/2

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cot(2x)-1=0

cot (2 x) - 1 = 0

x = \frac{π}{8} + \frac{πn}{2}

Solution steps

cot (2 x) - 1 = 0

Move

1

to the right side

cot (2 x) = 1

General solutions for

cot (2 x) = 1

2 x = \frac{π}{4} + πn

Solve

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

x = \frac{π}{8} + \frac{πn}{2}

tan (2 θ) - tan (θ) = 0, 0 < θ < 2 π

- 8 cos (x) = - 6 sec (x) + 8

cos (2 θ) + sin (θ) = 1

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

4 cos (x) - 1 = 0

What is the general solution for cot(2x)-1=0 ?
The general solution for cot(2x)-1=0 is x= pi/8+(pin)/2