What is the general solution for tan^2(x)-4tan(x)+3=0 ?

The general solution for tan^2(x)-4tan(x)+3=0 is x=1.24904…+pin,x= pi/4+pin

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tan^2(x)-4tan(x)+3=0

tan^{2} (x) - 4 tan (x) + 3 = 0

x = 1.24904 \dots + πn, x = \frac{π}{4} + πn

Solution steps

tan^{2} (x) - 4 tan (x) + 3 = 0

Solve by substitution

tan (x) = 3, tan (x) = 1

tan (x) = 3 : x = arctan (3) + πn

tan (x) = 1 : x = \frac{π}{4} + πn

Combine all the solutions

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

Show solutions in decimal form

x = 1.24904 \dots + πn, x = \frac{π}{4} + πn

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

2 sin^{2} (x) = 3 (1 - cos (x))

cos (x) = 0, 72

θ, cos (θ) = \frac{1}{2}

csc (θ) = 2.8

What is the general solution for tan^2(x)-4tan(x)+3=0 ?
The general solution for tan^2(x)-4tan(x)+3=0 is x=1.24904…+pin,x= pi/4+pin