Answered

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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.

Sagot :

Answer:

8/5

Step-by-step 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.

[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]

[tex] {8}^{2} + {5}^{2} = {r}^{2} [/tex]

[tex]64 + 25 = {r}^{2} [/tex]

[tex] \sqrt{89} [/tex]

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

[tex] \frac{8}{5} [/tex]

so the answer. is 8/5

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