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COMEDK2016MathematicsTrigonometric Ratios & Identities

The value of 85^ - 15^ 65^ =

Options

  1. A0
  2. B1
  3. C-1
  4. D2

Correct answer

B. 1

Step-by-step solution

85^ - 35^ 65^ aligned &= 2 ( 85^ +35^ 2 ) ( 85^ -35^ 2 ) 65^ &= 2 60^ 25^ 65^ &= 2 1 2 25^ (90^ -25^ ) &= 25^ 25^ =1 aligned

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