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BITSAT2010MathematicsTrigonometric EquationsActual

( 20^ + 40^ + 3 20^ 40^ ) is equal to

Options

  1. A( 3 / 2 )
  2. B( 3 / 4 )
  3. C( 3 )
  4. D1

Correct answer

C. ( 3 )

Step-by-step solution

( aligned 3 & = 60^ = (40^ +20^ ) & = 40^ + 20^ 1- 40^ 20^ & 3 - 3 40^ 20^ & = 40^ + 20^ aligned ) Hence ( 40^ + 20^ + 3 40^ 20^ ) (= 3 )

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