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

The general solution for tan(2x)=2 is x=(1.10714…)/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

tan (2 x) = 2

x = \frac{1.10714 \dots}{2} + \frac{πn}{2}

Degrees

x = 31.71747 \dots^{\circ} + 9 0^{\circ} n

Solution steps

tan (2 x) = 2

Apply trig inverse properties

tan (2 x) = 2

General solutions for

tan (2 x) = 2

tan (x) = a \Rightarrow x = arctan (a) + πn

2 x = arctan (2) + πn

2 x = arctan (2) + πn

Solve

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

2 x = arctan (2) + πn

Divide both sides by

2

2 x = arctan (2) + πn

Divide both sides by

2

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

Simplify

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

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

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

Show solutions in decimal form

x = \frac{1.10714 \dots}{2} + \frac{πn}{2}

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

8 sin^{2} (x) - 2 = 0

y, sin (x) = x (1 + tan (y))

sin (2 x) - sin (x) = 0, (0, 2 π)

sin^{4} (x) + cos^{4} (x) = \frac{7}{9}

What is the general solution for tan(2x)=2 ?
The general solution for tan(2x)=2 is x=(1.10714…)/2+(pin)/2