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AP EAMCET202123 Aug 2021Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

^2 5^ + ^2 10^ + ^2 15^ + + ^2 90^ is equal to

Options

  1. A8 1 2
  2. B9
  3. C9 1 2
  4. D4 1 2

Correct answer

C. 9 1 2

Step-by-step solution

^2 5^ + ^2 10^ + ^2 15^ + + ^2 90^ aligned ^2 5^ + ^2 10^ & + + ^2 45^ + ^2 50^ & + + ^2 80^ + ^2 85^ + ^2 90^ aligned aligned & ^2 85^ + ^2 80^ + + ^2 50^ + ^2 45^ & + ^2 50^ + + ^2 80^ + ^2 85^ + ^2 90^ aligned aligned & ( ^2 85^ + ^2 85^ )+ ( ^2 80^ + ^2 80^ ) & + + ( ^2 50^ + ^2 50^ )+ ^2 45^ + ^2 90^ aligned 1+1+ 1+ 1 2 +1=9 1 2

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