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

The general solution for tan^2(x)-3tan(x)+2=0 is x=1.10714…+pin,x= pi/4+pin

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

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

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

Solution steps

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

Solve by substitution

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

tan (x) = 2 : x = arctan (2) + πn

tan (x) = 1 : x = \frac{π}{4} + πn

Combine all the solutions

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

Show solutions in decimal form

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

arcsin (\frac{1}{3})

2 sin (3 x - 1) = 3

cos^{4} (x) - sin^{4} (x) = cos (2 x)

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

sec (\frac{3 π}{2})

What is the general solution for tan^2(x)-3tan(x)+2=0 ?
The general solution for tan^2(x)-3tan(x)+2=0 is x=1.10714…+pin,x= pi/4+pin