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Ex 3.4, 1 Find the principal and general solutions of the equation tan π‘₯ = √3 Given tan π‘₯ = √3 Principal Solution Principal solution is when 0 ≀ x ≀ 2πœ‹ We know that tan 𝛑/πŸ‘ = √3 & tan (πŸ’π›‘/πŸ‘) = tan (Ο€" + " Ο€/3) Therefore, the principal solutions are π‘₯ = 𝛑/πŸ‘ and πŸ’π›‘/πŸ‘ . General Solution Given tan π‘₯ = √3 tan π‘₯ = tan Ο€/3 ∴ π‘₯ = n𝛑 + 𝛑/πŸ‘, where n ∈ Z Therefore, the general solution is π‘₯ = nΟ€ + Ο€/3 , where n ∈ Z

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.