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

The general solution for tan(x)-2/(tan(x))=1 is x=1.10714…+pin,x=(3pi)/4+pin

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

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

x = 1.10714 \dots + πn, x = \frac{3 π}{4} + πn

Solution steps

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

Solve by substitution

tan (x) = 2, tan (x) = - 1

tan (x) = 2 : x = arctan (2) + πn

tan (x) = - 1 : x = \frac{3 π}{4} + πn

Combine all the solutions

x = arctan (2) + πn, x = \frac{3 π}{4} + πn

Show solutions in decimal form

x = 1.10714 \dots + πn, x = \frac{3 π}{4} + πn

sin (x) + 3 cos (x) = 2

arccos (2 x) = π

\frac{cosh ( 0.2 m )}{cosh ( 0.4 m )} = 0.6

t, x = 4 sin (t)

sin (2 x) + 1.5 cos (x) = 0

What is the general solution for tan(x)-2/(tan(x))=1 ?
The general solution for tan(x)-2/(tan(x))=1 is x=1.10714…+pin,x=(3pi)/4+pin