What is the Value of (sin2θ – cos2θ)

If  tan θ = 3 sin θ then the value of (sin2θ – cos2 θ) is

  1. 1
  2. 3
  3. 1/3
  4. None
Manish Listener Asked on 18th June 2015 in Maths.
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1 Answer(s)

Answer: (4) None
Explanation:-
tanθ = 3 sinθ
sinθ/cosθ  = 3 sinθ
cosθ = 1/3
cos = 1/9
sinn2θ = 1 – cos
sin = 1 – 1/9
sin = (9 – 1)/9
sin = 8/9
Then, sin – cos = 8/9 – 1/9 = 7/9

Hence, the answer is (4) None

Anurag Mishra Professor Answered on 19th June 2015.
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