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MHT CET202020 Oct 2020Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If = 15^ + 45^ , where 0^ < < 180^ , then =

Options

  1. A75^
  2. B150^
  3. C45^
  4. D60^

Correct answer

A. 75^

Step-by-step solution

aligned Given &= 15^ + 45^ &=2 ( 15^ +45^ 2 ) ( 15^ -45^ 2 ) &=2 30^ 15^ =2 1 2 15^ &= 15^ = (90^ -15^ ) =75^ aligned

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