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The general solution of fraction numerator Tan space 2 x minus Tan space x over denominator 1 plus Tan space x times Tan space 2 x end fraction equals 1 i

  1. n pi plus pi over 4 comma straight for all n element of Z
  2. n pi plus-or-minus pi over 4 comma straight for all n element of Z
  3. ϕ
  4. n pi plus pi over 6 comma straight for all n element of Z

hintHint:

A general solution is one which involves the integer ‘n’ and gives all solutions of a trigonometric equation.

The correct answer is: ϕ


    Here, we have to find the general solution.
    Tan 2x - Tan x / 1 + Tan x. Tan 2x = 1 .
    Or, Tan (2x - 1 ) = 1 .
    Or, Tan x = 1 .
    Hence, the correct option is (d).

    tan ( A - B) = tan A - tan B / 1 + tan A. tan B

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