Question

If O is an angle in standard position and its terminal side passes through the point

(8,5), find the exact value of cot 0 in simplest radical form.

Answer 1

8/5

Explanation:

Since the angle passes through 8,5. The horizontal side length is 8. The vertical length is 5 so now we must find the hypotenuse or radius side. Using the pythagorean theorem, that can be accomplished.

`{x}^(2) + {y}^(2) = {r}^(2)`

`{8}^(2) + {5}^(2) = {r}^(2)`

`64 + 25 = {r}^(2)`

`√(89)`

So know me gonna to find our trig functions. Cot or cotangent is x/y so we plug that as x=8, y=5.

`(8)/(5)`

so the answer. is 8/5