What is the general solution for cot(2x-3)-1=0 ?

The general solution for cot(2x-3)-1=0 is x= 3/2+pi/8+(pin)/2

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cot(2x-3)-1=0

cot (2 x - 3) - 1 = 0

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

Solution steps

cot (2 x - 3) - 1 = 0

Move

1

to the right side

cot (2 x - 3) = 1

General solutions for

cot (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}

4 sin^{32} (x) - 3 cos^{2} (x) = 0

4 tan^{2} (x) + 15 sec (x) = 0

sin^{4} (x) + cos^{4} (x) = cos^{4} (x)

cot (x) = \frac{40}{32}

tan (a) = \frac{3}{8}

What is the general solution for cot(2x-3)-1=0 ?
The general solution for cot(2x-3)-1=0 is x= 3/2+pi/8+(pin)/2