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MHT CET202313 May 2023Morning ShiftMathematicsTrigonometric EquationsActual

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

Options

  1. A72^
  2. B54^
  3. C18^
  4. D54^

Correct answer

B. 54^

Step-by-step solution

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

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