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MHT CET202616 April 2026Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

The value of (60^ - A) A (60^ + A) is

Options

  1. A1 4 3A
  2. B3A
  3. C3A
  4. D1 4 3A

Correct answer

A. 1 4 3A

Step-by-step solution

Using the identity (x - y) (x + y) = ^2 x - ^2 y (60^ - A) (60^ + A) = ^2 60^ - ^2 A = 1 4 - ^2 A Multiplying by A A ( 1 4 - ^2 A ) = 1 4 A - A (1 - ^2 A) = ^3 A - 3 4 A = 4 ^3 A - 3 A 4 = 1 4 3A Answer: 1 4 3A

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