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Manipal MET2010MathematicsTrigonometric Ratios & Identities

In a A B C, B=90^ , then ^2 ( A 2 ) is

Options

  1. Ab-c b+c
  2. Bb+c b-c
  3. Cb-2 c b+c
  4. DNone of these

Correct answer

A. b-c b+c

Step-by-step solution

In given right angled triangle, we have A=c / b 1- ^2 A 2 1+ ^2 A 2 =c / b (1+ ^2 A 2 )- (1- ^2 A 2 ) (1+ ^2 A 2 )+ (1- ^2 A 2 ) = (b-c) (b+c) (by componendo and dividendo rule) Hence, ^2 A 2 = b-c b+c

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