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

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

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tan^2(x)+1=2*tan(x)

tan^{2} (x) + 1 = 2 \cdot tan (x)

x = \frac{π}{4} + πn

Solution steps

tan^{2} (x) + 1 = 2 tan (x)

Solve by substitution

tan (x) = 1

tan (x) = 1 : x = \frac{π}{4} + πn

Combine all the solutions

x = \frac{π}{4} + πn

\frac{csc ( θ )}{cot ( θ )} = - 2 tan (θ)

2 cos^{2} (θ) + 3 sin (θ) = 0

sin (2 θ) + 3 cos (θ) = 0

2 cot (x) + csc^{2} (x) = 0

2 cos^{2} (θ) + 3 cos (θ) + 4 = 3

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