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

The general solution for tan(x)=sqrt(2) is x=0.95531…+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan(x)=sqrt(2)

tan (x) = 2

x = 0.95531 \dots + πn

Degrees

x = 54.73561 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (x) = 2

Apply trig inverse properties

tan (x) = 2

General solutions for

tan (x) = 2

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

x = arctan (2) + πn

x = arctan (2) + πn

Show solutions in decimal form

x = 0.95531 \dots + πn

tan^{2} (x) + tan (x) - 20 = 0

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

4 sin^{2} (x) tan (x) - tan (x) = 0

2 tan (x) + 2 = 0

0 = sin (2 x)

What is the general solution for tan(x)=sqrt(2) ?
The general solution for tan(x)=sqrt(2) is x=0.95531…+pin