Apoint on the terminal side of an angle theta is given. find the exact value of each of the six trigonometric functions of theta. (-2,-5) sin theta = cos theta = tan theta = csc theta = sec theta = cot theta =

Step-by-step explanation:

Plot that point in the x/y coordinate plane to see that it sits in the third quadrant.  From the point, draw a line to the origin, constructing a right triangle.  The side adjacent to the angle is -2, the side across from the angle is -5, so we need to find the length of the hypotenuse using Pythagorean's Theorem:

and

so

That means that

and

That means that

and

It also means that

and