Question

find the general solution of sin(x+pie/12)=0​

Answer 1

Step-by-step explanation:

MARK BRAINLEST

The solution of the equation is x=\frac{12n\pi-\pi}{12}x=

12

12nπ−π

.

Step-by-step explanation:

Given : Equation \sin(x+\frac{\pi}{12})=0sin(x+

12

π

)=0

To find : The general solution of the equation ?

Solution :

The general solution of \sin x=0sinx=0 is x=n\pix=nπ where n∈I.

So, the solution of the equation \sin(x+\frac{\pi}{12})=0sin(x+

12

π

)=0 is

x+\frac{\pi}{12}=n\pix+

12

π

=nπ

x=n\pi-\frac{\pi}{12}x=nπ−

12

π

x=\frac{12n\pi-\pi}{12}x=

12

12nπ−π

Therefore, the solution of the equation is x=\frac{12n\pi-\pi}{12}x=

12

12nπ−π

.