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

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

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sin(x+pi)+sin(x-pi)=0

sin (x + π) + sin (x - π) = 0

x = 2 πn, x = π + 2 πn

Solution steps

sin (x + π) + sin (x - π) = 0

Rewrite using trig identities

- 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 (y) - sin (y) = 0

36 sin (x) cos (x) = - 93

sin (2 x) = cos (4 x)

6 cos^{2} (θ) + 7 = - 17 cos (θ)

0 = - 9 \cdot sin (2 x)

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