What is the general solution for sqrt(3)tan((2x)/3)-1=0 ?

The general solution for sqrt(3)tan((2x)/3)-1=0 is x= pi/4+(3pin)/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sqrt(3)tan((2x)/3)-1=0

3 tan (\frac{2 x}{3}) - 1 = 0

x = \frac{π}{4} + \frac{3 πn}{2}

Solution steps

3 tan (\frac{2 x}{3}) - 1 = 0

Move

1

to the right side

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

Divide both sides by

3

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

General solutions for

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

\frac{2 x}{3} = \frac{π}{6} + πn

Solve

\frac{2 x}{3} = \frac{π}{6} + πn : x = \frac{π}{4} + \frac{3 πn}{2}

x = \frac{π}{4} + \frac{3 πn}{2}

8 cos^{2} (θ) - 3 = 1

1 + 2 sin (x) = csc (x)

tan^{2} (θ) + tan (θ) - 6 = 0

tan (θ) = 2 sin (θ), 0 \leq θ \leq 2 π

2 sin (x) tan (x) - tan (x) = 0

What is the general solution for sqrt(3)tan((2x)/3)-1=0 ?
The general solution for sqrt(3)tan((2x)/3)-1=0 is x= pi/4+(3pin)/2