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MHT CET202415 May 2024Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

The value of aligned & (18^ - A ) (18^ + A ) & - (72^ - A ) (72^ + A ) is equal to aligned

Options

  1. A54^
  2. B36^
  3. C54^
  4. D36^

Correct answer

C. 54^

Step-by-step solution

aligned & (18^ - A ) (18^ + A ) & - (72^ - A ) (72^ + A ) & = (18^ - A ) [90^ - (72^ - A ) ] & - (72^ - A ) [90^ - (18^ - A ) ] aligned aligned & = (72^ - A ) (18^ - A ) & - (72^ - A ) (18^ - A ) & = [ (72^ - A )- (18^ - A ) ]= 54^ aligned

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