If 2sin⁡α1+cos⁡α+sin⁡α=x,then 1−cos⁡α−sin⁡αcos⁡α is equal to

If 2sinα1+cosα+sinα=x,then 1cosαsinαcosα is equal to

  1. A

    1x

  2. B

    x

  3. C

    1-x

  4. D

    -x

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    Solution:

     Given, 2sinα1+cosα+sinα=x2sinα(1cosαsinα)(1+cosα+sinα)(1cosαsinα)=x2sinα(1cosαsinα)1sin2αcos2α2sinαcosα=x1cosαsinαcosα=x

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