What is the Value of θ in Equation

If tan 2θ . tan 3θ =1 , where 00< θ< 3θ 900 then the value of θ is

  1. 45/20
  2. 180
  3. 240
  4. 300
Manish Listener Asked on 18th June 2015 in Maths.
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1 Answer(s)

Answer: (2) 18o
Explanation:-

tan2θ.tan3θ = 1
tan2θ = 1/tan3θ
tan2θ = cot3θ
tan2θ = tan(90 – 3θ)
2θ = 90 – 3θ
2θ + 3θ = 90
5θ = 90
θ = 90/5
θ = 18o

Hence, the answer is(2) 18o

Anurag Mishra Professor Answered on 20th June 2015.
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