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AP EAMCET2002MathematicsTrigonometric Equations

If ( + )= 4 5 , ( - )= 5 13 and , between 0 and 4 , then 2 is equal to

Options

  1. A56 33
  2. B33 56
  3. C16 65
  4. D60 61

Correct answer

A. 56 33

Step-by-step solution

Given that aligned & ( + )= 4 5 ( + )= 3 4 & ( - )= 5 13 ( - )= 5 12 & Now, 2 = [( + )+( - )] & = ( + )+ ( - ) 1- ( + ) ( - ) & = 3 4 + 5 12 1- 3 4 5 12 = (9+5) 4 48-15 = 56 33 & aligned

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