If the sides of a triangle are sina, cosa,1+sinα cosα,0<α <π2 the largest angle is 

If the sides of a triangle are sina, cosa,1+sinα cosα,0<α <π2 the largest angle is

 

  1. A

    60°

  2. B

    90°

  3. C

    120°

  4. D

    150°

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    Solution:

    The largest side is c=1+sinα cosα

    cosC=a2+b2-c22ab

    =sin2α+cos2α-(1+sinα cosα)2sinα cosα=-12

     C=120°.

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