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MHT CET202411 May 2024Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

^3 ( 8 ) ( 3 8 )+ ^3 ( 8 ) ( 3 8 )=

Options

  1. A1 2 2
  2. B1 2
  3. C1 2
  4. D3 2

Correct answer

A. 1 2 2

Step-by-step solution

To solve the expression ^3 ( 8 ) ( 3 8 )+ ^3 ( 8 ) ( 3 8 ) , we will follow these steps: Rewrite ( 3 8 ) and ( 3 8 ) Using the identity ( 3 8 )= ( 2 - 3 8 )= ( 8 ) and ( 3 8 )= ( 2 - 3 8 )= ( 8 ) , we can rewrite the expression: ^3 ( 8 ) ( 8 )+ ^3 ( 8 ) ( 8 ) Factor the expression Now we can factor out ( 8 ) ( 8 ) : ( 8 ) ( 8 ) ( ^2 ( 8 )+ ^2 ( 8 ) ) Simplify using Pythagorean identity Using the Pythagorean identity ^2 A+ ^2 A=1 : Simplify using Pythagorean identity Using the Pythagorean identity ^2 A+ ^2 A=1 : ( 8

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