What will be the Value of θ, If

If θ is an acute angle and tan2θ + (1/tan2θ)= 2, then the value of θ is

  1. 60o
  2. 15o
  3. 45o
  4. 30o
Monis Rasool Professor Asked on 28th August 2015 in Maths.
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1 Answer(s)

Answer: (3) 45o

Explanation: –
tan2θ + (1/tan2θ)= 2

tan2 θ + cot2 θ = 2
Put, θ = 45o
Then, tan2 45o + cot245o = 2
1 + 1 = 2
Then, the value of θ = 45o.

Anurag Mishra Professor Answered on 28th August 2015.
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