1.

What is [(1 – Cos A)2 + (1 – tan A)2 +  (1 – Sin A)2]/ [2 – (cos A + tan A + sin A) + Tan2A]?1. 62. 93. 54. 2

Answer» Correct Answer - Option 4 : 2

Calculation

(1 + Cos2A – 2 Cos A) + (1 + tan2A – 2 tan A) + (1 + sin2A – 2 Sin A)/ [2 – (cos A + tan A + sin A) + Tan2 A]

⇒  (1 + 1 + 1 + Cos2A + Sin2A – 2cos A – 2 tan A – 2 sin A + Tan2 A)/ [2 – (cos A + tan A + sin A) + Tan2 A

⇒  [1 + 1 + 1 + 1 – 2(cos A + tan A + sin A) + Tan2 A]/[2 – (cos A + tan A + sin A) + Tan2 A]

⇒  {[4 – 2(cos A + tan A + sin A) ]+ Tan2 A}/ [2 – (cos A + tan A + sin A) + Tan2 A]

⇒  2{[2 – (cos A + tan A + sin A) ]+ Tan 2 A}/[2 – (cos A + tan A + sin A) + Tan 2 A]

⇒  2


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