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AP EAMCET201822 Apr 2018Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If , , are any three angles, then + - - ( + + )=

Options

  1. A4 + 2 + 2 + 2
  2. B4 + 2 + 2 + 2
  3. C4 + 2 - 2 - 2
  4. D4 + 2 + 2 + 2

Correct answer

B. 4 + 2 + 2 + 2

Step-by-step solution

aligned & + - - ( + + ) & =2 2 + + 2 + 2 +2 + 2 ( - 2 ) & =2 + 2 [ 2 + + 2 + - 2 ] & =4 + 2 + 2 + 2 & =4 + 2 + 2 + 2 . aligned

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