Apoint on the terminal side of angle Theta is given. Find the exact value of each of the six trigonometric functions of 0 (-8,-5) sinTheta =square (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Rationalize all denominators.)

To find the exact value of the six trigonometric functions of angle $\Theta$, we need to first determine the coordinates of the point on the terminal side of the angle.<br /><br />Given point: $(-8,-5)$<br /><br />Step 1: Find the distance from the origin to the point using the Pythagorean theorem.<br />Distance = $\sqrt{(-8)^2 + (-5)^2} = \sqrt{64 + 25} = \sqrt{89}$<br /><br />Step 2: Determine the values of the trigonometric functions.<br />$sin\Theta = \frac{y}{r} = \frac{-5}{\sqrt{89}} = -\frac{5}{\sqrt{89}}$<br /><br />Therefore, the exact value of $sin\Theta$ is $-\frac{5}{\sqrt{89}}$.