Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
Proving
Last updated at May 29, 2023 by Teachoo
Example 4 In a right triangle ABC, right-angled at B, if tan A = 1, then verify that 2 sin A cos A = 1. Finding AC by pythagoras theorem (Hypotenuse)2 = (Height)2 + (Base)2 AC2 = AB2 + BC2 Putting AB = BC = k AC2 = k2 + k2 AC2 = 2k2 AC = β2π2 AC = k β2 We have to find 2 sin A cos A Substituting the value of sin A and cos A = 2 Γ1/β2Γ1/β2 = 2/(β2 Γ β2) = 2/(β2 )^2 = 2/2 = 1