What is the general solution for tan(2x)=sqrt(3),0<= x<= 2pi ?

The general solution for tan(2x)=sqrt(3),0<= x<= 2pi is x= pi/6 ,x=(2pi)/3 ,x=(7pi)/6 ,x=(5pi)/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan(2x)=sqrt(3),0<= x<= 2pi

tan (2 x) = 3, 0 \leq x \leq 2 π

x = \frac{π}{6}, x = \frac{2 π}{3}, x = \frac{7 π}{6}, x = \frac{5 π}{3}

Solution steps

tan (2 x) = 3, 0 \leq x \leq 2 π

General solutions for

tan (2 x) = 3

2 x = \frac{π}{3} + πn

Solve

2 x = \frac{π}{3} + πn : x = \frac{π}{6} + \frac{πn}{2}

x = \frac{π}{6} + \frac{πn}{2}

Solutions for the range

0 \leq x \leq 2 π

x = \frac{π}{6}, x = \frac{2 π}{3}, x = \frac{7 π}{6}, x = \frac{5 π}{3}

4 tan^{2} (θ) + tan (θ) = - 4 tan (θ) - 1

8 cos (c) + 6 = 3 cos (c) + 7

2 csc (A) - 4 = 0

7 tan^{2} (x) - 21 = 0

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

What is the general solution for tan(2x)=sqrt(3),0<= x<= 2pi ?
The general solution for tan(2x)=sqrt(3),0<= x<= 2pi is x= pi/6 ,x=(2pi)/3 ,x=(7pi)/6 ,x=(5pi)/3