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AP EAMCET202421 May 2024Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If is in the 3^ rd quadrant, is in the 2^ nd Quadrant such that = 1 7 , = 1 10 , then (2 + )

Options

  1. A3 10 25
  2. B3 10
  3. C3 25 10
  4. D10 3 25

Correct answer

C. 3 25 10

Step-by-step solution

= 1 7 2 = 1- ^2 1+ ^2 = 1- 1 49 1+ 1 49 = 24 25 2 = 2 1+ ^2 = 2 7 1+ 1 49 = 14 50 = 7 25 Also, = 1 10 = -3 10 [ lies in 2nd quadrant] So, (2 + )= 2 + 2 (2 + )= -21 25 10 + 24 25 10 = 3 25 10 .

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