What is sin2 (3 π) + cos2 (4 π) + tan2 (5π) equal to ?

What is  sin2 (3 π)  + cos2 (4 π)  + tan2 (5π) equal to ?

  1. 0
  2. 1
  3. 2
  4. 3
Manish Listener Asked on 25th July 2015 in Maths.
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  • 1 Answer(s)

    Answer: (2) 1
    Explanation:-
    sin2(3 π ) + cos2 (4 π ) + tan2 (5  π )
    = sin2 (3 x 180) + cos2 (4 x 180) + tan2 (5 x 180)
    = sin2 (360 + 180) + cos2 ( 360 + 360 ) + tan2 ( 2 x 360 + 180)
    = sin2 180 + cos2 360 + tan2 180
    = (0)2 + (1)2 + (0)2
     = 0 + 1 + 0
    = 1
    Hence, the answer is (2) 1.

    Anurag Mishra Professor Answered on 25th July 2015.
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