Find The Value of θ in Degrees ? If

If θ be acute angle and tan(4θ-50o)=cot(50o-θ), then the value of θ in degrees is:

  1. 20
  2. 30
  3. 40
  4. 50
Harsh Vardhan Professor Asked on 22nd August 2015 in Maths.
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  • 1 Answer(s)

    Answer: (2) 30

    Explanation:-
    tan(4θ-50o)=cot(50o-θ)
    tan (4θ – 50) = tan [90 – (50- θ)]
    4θ – 50  = 90 – 50 + θ
    4θ =- θ = 40 + 50
    3 θ = 90
    θ = 90/3
    θ  =30
    Then, the value of θ is 30.

    Hence, the answer is (2) 30.

    Anurag Mishra Professor Answered on 28th August 2015.
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