Use the graph below to answer the question that follows:

what trigonometric function represents the graph? (6 points)
select one:
a. f(x) = −3 sin(x − pi over 2 )
b. f(x) = −3 cos(x − pi over 2 )
c. f(x) = 3 cos(x − pi over 2 )
d. f(x) = 3 sin(x − pi over 2 )

The  trigonometric function which represents the graph is:

         c)  

From the graph we may observe that when x=π/2 we have the value of the function  f(x)= 3

Hence, we will check in which this point hold true:

a)

Now, when x=π/2 we have:

Hence, option: a is incorrect.

b)

Now, when x=π/2 we have:

Hence, option: b is incorrect.

d)

Now, when x=π/2 we have:

Hence, option: d is incorrect.

c)

Now, when x=π/2 we have:

Similarly we will see that the value of this function matches all the points that on the graph.

        Hence, option: c is correct.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq