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

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

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sin(x)=sin(x+(-3)pi)

sin (x) = sin (x + (- 3) π)

x = 2 πn, x = π + 2 πn

Solution steps

sin (x) = sin (x + (- 3) π)

Rewrite using trig identities

sin (x) = - sin (x)

Subtract

- sin (x)

from both sides

2 sin (x) = 0

Divide both sides by

2

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 (2 x) - \frac{2}{3} = 0

2 sin (θ) + cos (2 θ) = 0

sin (x + \frac{π}{4}) = 2 cos (x + \frac{π}{4})

5 = 7 cos (\frac{π}{3} t)

6 cos^{2} (x) - 4 = 0

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