Question 1 - Principal and General Solutions - Chapter 3 Class 11 Trigonometric Functions

Last updated at April 16, 2024 by

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Question 1 Find the principal and general solutions of the equation tan 𝑥 = √3 Given tan 𝑥 = √3 Principal Solution Principal solution is when 0 ≤ x ≤ 2𝜋 We know that tan 𝛑/𝟑 = √3 & tan (𝟒𝛑/𝟑) = tan (π" + " π/3) Therefore, the principal solutions are 𝑥 = 𝛑/𝟑 and 𝟒𝛑/𝟑 . General Solution Given tan 𝑥 = √3 tan 𝑥 = tan π/3 ∴ 𝑥 = n𝛑 + 𝛑/𝟑, where n ∈ Z Therefore, the general solution is 𝑥 = nπ + π/3 , where n ∈ Z

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.