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

The general solution for tan(2x)= 2/3 is x=(0.58800…)/2+(pin)/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan(2x)= 2/3

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

x = \frac{0.58800 \dots}{2} + \frac{πn}{2}

Solution steps

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

Apply trig inverse properties

2 x = arctan (\frac{2}{3}) + πn

Solve

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

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

Show solutions in decimal form

x = \frac{0.58800 \dots}{2} + \frac{πn}{2}

sin^{2} (x) = 1 - cos (2 x)

sin (θ) = \frac{5}{6}, cos (θ)

tan^{2} (t) - sec^{2} (t) = 1

sin (x) tan (x) = \frac{1}{cot ( x )}

0 = - 2 sin (x) - 1

What is the general solution for tan(2x)= 2/3 ?
The general solution for tan(2x)= 2/3 is x=(0.58800…)/2+(pin)/2