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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan^2(x)-1=2

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

x = \frac{π}{3} + πn, x = \frac{2 π}{3} + πn

Solution steps

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

Solve by substitution

tan (x) = 3, tan (x) = - 3

tan (x) = 3 : x = \frac{π}{3} + πn

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

Combine all the solutions

x = \frac{π}{3} + πn, x = \frac{2 π}{3} + πn

cos (2 a) = \frac{2}{3}, sin (a)

cot (2 x - 3) - 1 = 0

4 sin^{32} (x) - 3 cos^{2} (x) = 0

4 tan^{2} (x) + 15 sec (x) = 0

sin^{4} (x) + cos^{4} (x) = cos^{4} (x)

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