What is the general solution for 3tan^2(x/3)=1 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3tan^2(x/3)=1

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

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

Solution steps

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

Solve by substitution

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

tan (\frac{x}{3}) = \frac{1}{3} : x = \frac{π}{2} + 3 πn

tan (\frac{x}{3}) = - \frac{1}{3} : x = - \frac{π}{2} + 3 πn

Combine all the solutions

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

0.3 = sin (9 x)

sin (7 x) = cos (2 x)

cos^{2} (x) = cot (x) sin (x)

sec^{2} (x) csc (x) - 2 csc (x) = 2 - sec^{2} (x)

2 sin (x) = - 2, 0 \leq x \leq 2 π

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