What is the general solution for tan^2(x)+2tan(x)+1=0 ?

The general solution for tan^2(x)+2tan(x)+1=0 is x=(3pi)/4+pin

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tan^2(x)+2tan(x)+1=0

tan^{2} (x) + 2 tan (x) + 1 = 0

x = \frac{3 π}{4} + πn

Solution steps

tan^{2} (x) + 2 tan (x) + 1 = 0

Solve by substitution

tan (x) = - 1

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

Combine all the solutions

x = \frac{3 π}{4} + πn

sin^{2} (x) + sin (x) cos (x) = 0

4 sin (x) + 5 = 4 + sin (x)

9 sin (θ) - 1 = 7 sin (θ)

cot (x) = sin (x)

- 3 cos (x) - sin (x) = - 3

What is the general solution for tan^2(x)+2tan(x)+1=0 ?
The general solution for tan^2(x)+2tan(x)+1=0 is x=(3pi)/4+pin