If A + B + C = π , cos B = cos A cos C , then tan A tan C =

Question

If A + B + C = π , cos B = cos A cos C , then tan A tan C =, 0, 1, 2, 1 2

MARKS App · Accepted Answer

Given, A + B + C = π Now, cos B = cos A cos C ⇒ cos π - A + C = cos A cos C ⇒ - cos A + C = cos A cos C ⇒ cos A cos C - sin A sin C = - cos A cos C ⇒ sin A sin C = 2 cos A cos C ⇒ tan A tan C = 2 .

Search any question & find its solution

Looking for more such questions to practice?