What is the general solution for tan(3x)=5 ?

The general solution for tan(3x)=5 is x=(1.37340…)/3+(pin)/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan(3x)=5

tan (3 x) = 5

x = \frac{1.37340 \dots}{3} + \frac{πn}{3}

Degrees

x = 26.23002 \dots^{\circ} + 6 0^{\circ} n

Solution steps

tan (3 x) = 5

Apply trig inverse properties

tan (3 x) = 5

General solutions for

tan (3 x) = 5

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

3 x = arctan (5) + πn

3 x = arctan (5) + πn

Solve

3 x = arctan (5) + πn : x = \frac{arctan ( 5 )}{3} + \frac{πn}{3}

3 x = arctan (5) + πn

Divide both sides by

3

3 x = arctan (5) + πn

Divide both sides by

3

\frac{3 x}{3} = \frac{arctan ( 5 )}{3} + \frac{πn}{3}

Simplify

x = \frac{arctan ( 5 )}{3} + \frac{πn}{3}

x = \frac{arctan ( 5 )}{3} + \frac{πn}{3}

x = \frac{arctan ( 5 )}{3} + \frac{πn}{3}

Show solutions in decimal form

x = \frac{1.37340 \dots}{3} + \frac{πn}{3}

x, cos (x) - sin (x) = 0

tan (θ) = 2 sin (θ)

0 = - sin (x) + cos (x)

sin (3 θ) = \frac{1}{2}

- sin^{2} (θ) + cos^{2} (θ) = 1 - sin (θ)

What is the general solution for tan(3x)=5 ?
The general solution for tan(3x)=5 is x=(1.37340…)/3+(pin)/3