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

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

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sin(pi+x)=sin(x)

sin (π + x) = sin (x)

x = 2 πn, x = π + 2 πn

Solution steps

sin (π + 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

cos (x) = - \frac{2}{π}

23 cos (z) + 2 sin (z) = 0

\frac{cos ( x ) + cos ( 3 x )}{cos ^{2} ( x ) - sin ^{2} ( x )} = 0

sin (x) = 2 cos^{2} (x) - 1

tan (t) = \frac{- 5}{12}

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