What is the general solution for 4tan^2(x)-8tan(x)+3=0 ?

The general solution for 4tan^2(x)-8tan(x)+3=0 is x=0.98279…+pin,x=0.46364…+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4tan^2(x)-8tan(x)+3=0

4 tan^{2} (x) - 8 tan (x) + 3 = 0

x = 0.98279 \dots + πn, x = 0.46364 \dots + πn

Solution steps

4 tan^{2} (x) - 8 tan (x) + 3 = 0

Solve by substitution

tan (x) = \frac{3}{2}, tan (x) = \frac{1}{2}

tan (x) = \frac{3}{2} : x = arctan (\frac{3}{2}) + πn

tan (x) = \frac{1}{2} : x = arctan (\frac{1}{2}) + πn

Combine all the solutions

x = arctan (\frac{3}{2}) + πn, x = arctan (\frac{1}{2}) + πn

Show solutions in decimal form

x = 0.98279 \dots + πn, x = 0.46364 \dots + πn

sin (t) - sin (2 t) = 0

sin (\frac{3 x}{2}) = 0

tan (x) = 5 sin (x)

cot^{2} (x) = - 2 cot (x) - 1

cos (\frac{π t}{2}) = 0

What is the general solution for 4tan^2(x)-8tan(x)+3=0 ?
The general solution for 4tan^2(x)-8tan(x)+3=0 is x=0.98279…+pin,x=0.46364…+pin