Question

If
1/tan50degree = tan A then the value of A =​

Answer 1

Answer:

The answer will be 40°.

Step-by-step explanation:

1/tan 50° = tan A

cot 50° = tan A. (1/tan A = cot A)

cos 50/sin 50 = sin A/cos A

cos 50.cos A = sin A.sin 50

cos 50.cos A - sin A.sin 50 = 0

We know that, cos (A + B) = cos A.cos B - sin A.sin B.

Thus, cos 50.cos A - sin A.sin 50 = cos(50 + A)

Hence, cos(50 + A) = 0

cos(50 + A) = cos 90°

Thus, 50 + A = 90

A = 90 - 50

= 40°

Therefore,  ∠A = 40°.

That's all.