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AP EAMCET2016MathematicsTrigonometric Equations

If = - 1- , then one of the values of 2 is

Options

  1. A2 2
  2. B2
  3. C2 2
  4. D^2 2 ^2 2

Correct answer

A. 2 2

Step-by-step solution

We have, = - 1- Appling componendo and dividendo, we get aligned & +1 -1 = - +1- - -1+ & +1 -1 = ( +1)(1- ) ( -1)( +1) & 1+ 1- = (1+ )(1- ) (1- )(1+ ) aligned aligned & 2 ^2 2 2 ^2 2 = 2 ^2 2 2 ^2 2 2 ^2 2 2 ^2 2 & ^2 2 = ^2 2 ^2 2 & ^2 2 = ^2 2 ^2 2 & 2 = 2 2 aligned

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