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
Monis Rasool Professor Asked on 28th August 2015 in Maths.
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1 Answer(s)

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

Anurag Mishra Professor Answered on 2nd September 2015.
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