Maths-
General
Easy

Question

The most general solution of cottheta =square root of 3 and cosec theta= – 2 is :

  1. straight n pi minus pi over 6
  2. straight n pi minus left parenthesis negative 1 right parenthesis to the power of straight n pi over 6
  3. 2 straight n pi minus pi over 6
  4. none of these , n element of i

hintHint:

In this equation, we have given cotθ = -√3 and cosecθ = -2. We have to find the general solution. Find the θ first and then find the general solution.

The correct answer is: 2 straight n pi minus pi over 6


    Here , we have to find the general equation of the cotθ = -√3 and cosecθ = -2.
    Firstly, we have given,
    cotθ = -√3 and cosecθ = -2.
    Now,
    cotθ = -√3
    cotθ = cot ( -π/6)
    and
    cosecθ = -2
    cosecθ = cosec ( -π/6 )
    so the general solution is,
    θ = 2nπ - π/6
    The correct answer is 2nπ - π/6.

    In this question, we have given cotθ = -√3 and cosecθ = -2. Where θ for both is -π/6 and then write the general solution.

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