Respuesta :

Verify teh trigonometric equation of each option

Remember that

The trigonometric function must be satisfy the points on the graph

so

Verify

we have

looking at the grahp

Fo x=0, y=0

For x=pi, y=0

For x=-pi, y=0

Option A

For x=0

substitute

y=3

so

the option A is not the equation of the graph

Option B

For x=0

y=3

the option B is not the equation of the graph

Option C

For x=0

y=0 ----> is ok

For x=pi

y=0 ----> is ok

For x=-p1

y=0 -----> is ok

the option C satisfy the given points

Option D

For x=0

y=1/2

the option D is not the equation

therefore

the answer is the option C