Question

is cosA/sinA equal to cot A?

Answer 1

Let me help you with this question.
We have to prove that
cot A = cos A / sin A

Since, we know that Cotangent is the inverse trigonometric function of tangent.
i-e cot A = 1 / tan A   .......... (1)
We also know that,
tan A = sin A / cos A
Put this value in equation (1), we get:
cot A = 1 / (sin A / cos A)
cot A = cos A / sin A
Hence proved.
Hopefully its helpful to you.Thanks.

Answer 2

The answer is YES.

According to Trigonometry equations,

The ratio of sine of an angle to the cosine of the same angle is equal to the tangent of the angle.

=> sinA/cosA = tanA

Also, the cotangent of an angle is inversely proportional to the tangent of the same angle.

cotA = 1/tanA

=> cotA = 1/(sinA/cosA)

=> cotA = 1 *cosA/sinA

=> cotA = cosA/sinA