This comment was posted to reddit on Nov 21, 2019 at 3:31 am and was deleted within 14 minutes.

Or Big brain explaination **(MATH ALERT)**:

In a right triangle ABC, whose right angle is A, the tangent ratio of the angle B is the opposite leg over the adjacent leg.

*tan B = opposite/adjacent*

Expressing the sine and cosine functions of the angle B:

*sin B = opposite/hypotenuse => opposite = hypotenuse\*sin B*

*cos B = adjacent/hypotenuse => adjacent = hypotenuse\*cos B*

Re-writing the tangent ratio:

*tan B = opposite/adjacent <= > tan B = hypotenuse\*sin B/hypotenuse*cos B*

Reducing hypotenuse:

*tan B = sin B/cos B*

Therefore, in a right angle triangle, the tangent ratio of an angle, except the right angle, is: **tan = sin / cos .**