What is the general solution for sin(3x)-3sin(x)=0 ?

The general solution for sin(3x)-3sin(x)=0 is x=2pin,x=pi+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(3x)-3sin(x)=0

sin (3 x) - 3 sin (x) = 0

x = 2 πn, x = π + 2 πn

Solution steps

sin (3 x) - 3 sin (x) = 0

Rewrite using trig identities

- 4 sin^{3} (x) = 0

Divide both sides by

- 4

sin (x) = 0

General solutions for

sin (x) = 0

x = 0 + 2 πn, x = π + 2 πn

Solve

x = 0 + 2 πn : x = 2 πn

x = 2 πn, x = π + 2 πn

sin (x) = \frac{2.1}{4}

2 sec^{2} (x) + tan^{2} (x) = 3

sin (x) = 0, 5

cos (b) + 4 = 3 cos (b) + 4

- 3 cos (2 θ) - 15 sin (θ) + 8 = - 8 sin (θ) + 3

What is the general solution for sin(3x)-3sin(x)=0 ?
The general solution for sin(3x)-3sin(x)=0 is x=2pin,x=pi+2pin