If angle A is acute and cos A =8/17. Then cot A is?

Question

Answer

Answer

Cos A = 8/17
base = 8 , hypotenuse = 17
so, perpendicular = 15...
therefore,
cot A = base/ perpendicular = 8/15

Answer

Answer

Given:

Angle A is acute and cos A = 8/17

To find:

Cot A

Solution:

To find cot A, we need to use the following formula:

cot A = cos A / sin A

We already know that cos A = 8/17

Now, we need to find sin A to calculate cot A. We can use the Pythagorean theorem to find sin A:

sin^2 A + cos^2 A = 1

sin^2 A = 1 - cos^2 A

sin A = sqrt(1 - cos^2 A)

sin A = sqrt(1 - (8/17)^2)

sin A = sqrt(225/289)

sin A = 15/17

Now, we can substitute the values of cos A and sin A in the formula of cot A:

cot A = cos A / sin A

cot A = (8/17) / (15/17)

cot A = 8/15

Therefore, cot A = 8/15.

Answer:

Cot A = 8/15.

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