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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

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

Solution steps

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

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

2 sin (x) + 1 = 0, 0 \leq x \leq 2 π

9 csc^{2} (θ) - 25 = 0

16 cos^{2} (θ) - 25 = 0

(2 cos (x) + 3) (2 sin (x) - 1) = 0

(tan (x) + 3) (2 sin (x) - 1) = 0

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