Find the exact trigonometric ratios for the angle x whose radian measure is given. (if an answer is undefined, enter undefined.) 4π 3 sin(x) = csc(x) = cos(x) = sec(x) = tan(x) = cot(x) =

Step-by-step explanation:

We are asked to find the exact trigonometric ratio for given angle .

Using summation identity, we will get:

Let us find

We will use identity

Now, we will solve for cos(x).

Let us find sec(x).

We will use identity

Let us find tan(x).

We will use identity .

Let us find cot(x).

We will use identity .

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