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

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

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sin(x)=sin(-x)

sin (x) = sin (- x)

x = 2 πn, x = π + 2 πn

Solution steps

sin (x) = sin (- x)

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

3 cos (θ) + 2 = 0

- cot (x) - 3 cos (x) = - cot (x) cos (x) - 3 cos (x)

6 cos^{2} (x) + 3 cos (x) = 0

6 sin (A) + 4 = 2 sin (A) + 8

(cot (x) - 3) (2 sin (x) + 1) = 0

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