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

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

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3sin(x)=sin(3x)

3 sin (x) = sin (3 x)

x = 2 πn, x = π + 2 πn

Solution steps

3 sin (x) = sin (3 x)

Subtract

sin (3 x)

from both sides

3 sin (x) - sin (3 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

tan (x) + 3 = 1 + 3 cot (x)

tan (u) - cot (u) = 2

sin (x) sin (x) = 0

15 = arctan (\frac{0.375}{2 x})

cos (θ) (1 + cos (θ)) = sin^{2} (θ)

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