If A and B are two acute angles of a right angled triangle ABC, prove that: tanA.tanB =1

If A and B are two acute angles of a right angled triangle ABC, show that: tanA.tanB = 1.

ANSWER:

We took angle C = 90° above because we know the angles A and B are acute angles, meaning they are less than 90° and given triangle is a right angled triangle. So, obviously the angle C will be 90° to be fullfil the above condition.

You need to know these following things to be able to solve such questions and get the value of given compound angles.

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