What is the general solution for 2sin(x)+sin(x)=0 ?

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

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2sin(x)+sin(x)=0

2 sin (x) + sin (x) = 0

x = 2 πn, x = π + 2 πn

Solution steps

2 sin (x) + sin (x) = 0

Simplify

2 sin (x) + sin (x) : 3 sin (x)

3 sin (x) = 0

Divide both sides by

3

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

15 cos (x) = 0

sin (\frac{π}{2} - x) = cos^{2} (x)

sin (θ) = \frac{π}{3}

tan (x) sin (x) + sin (- x) = 0, 0 \leq x \leq 2 π

tan (\frac{2 x}{3}) + 3 = 0

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