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

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

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tan(x)+1/(tan(x))=2

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

x = \frac{π}{4} + πn

Solution steps

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

Solve by substitution

tan (x) = 1

tan (x) = 1 : x = \frac{π}{4} + πn

Combine all the solutions

x = \frac{π}{4} + πn

4 csc (θ) - 5 = 3

csc (5 x) = - 1, 0 \leq x \leq 2 π

- 4 \cdot cos^{2} (x) + 3 = 0

8 sin (θ) + 1 = 6 sin (θ)

- cot^{2} (x) = 1 + 2 cot (x)

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