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AP EAMCET202316 May 2023Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If two angles , are such that 0 < , < 4 , 1+ 2 = 3 5 and 1- 2 1+ 2 = 1 7 , then (2 + )=

Options

  1. A3
  2. B6
  3. C3 4
  4. D4

Correct answer

D. 4

Step-by-step solution

Given, 1+ 2 = 3 5 and 1- 2 1+ 2 = 1 7 aligned & 2 = 3 5 and = 1 7 & = 3 10 and = 1 7 & 2 =2 9 10 -1 aligned 2 = 8 10 = 4 5 2 = 3 5 4 5 = 3 4 (2 + )= 3 4 + 1 7 1- 3 28 = 25 25 =1 2 + = 4

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