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    The Simplified Form of the Given Expression sinA cosA(tanA – cotA) is (where 0o ≤A ≤90o):

    1. 1 – 2sin2 A
    2. 2 sin2A-1
    3. 1
    4. 1-cos2A
    Asked by Monis Rasool on 28th August 2015 in Maths.
    1 Answers
    Professor

    Answer: (2) 2sin2A – 1

    Explanation:-
    sinA cosA (tanA – cotA)
    = sinA cosA (sinA/cosA – cosA/sinA)
      = sinA CosA (sin2A – cos2A)/sinA CosA
    = sin2A – cos2A
    = – (cos2A – sin2A)
    = – (cos 2A)
     = – (1 – 2sin2A)
     = 2sin2A – 1
    Hence, the answer is (2) 2sin2A – 1

    Answered by Anurag Mishra on 2nd September 2015..