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AP EAMCET20226 Jul 2022Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

^2 45^ + ^2 135^ + ^2 225^ + ^2 315^ =

Options

  1. A1
  2. B2
  3. C0
  4. D-1

Correct answer

B. 2

Step-by-step solution

aligned & ^2 45^ + ^2 135^ + ^2 225+ ^2 315^ &= ^2 45^ + ^2 (180^ -45^ )+ ^2 (180^ +45^ ) &+ ^2 (360^ -45^ ) &= 4 ^2 45^ =4 ( 1 2 )^2=2 aligned

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