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Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


Transcript

Question 1 Find the principal and general solutions of the equation tan š‘„ = āˆš3 Given tan š‘„ = āˆš3 Principal Solution Principal solution is when 0 ā‰¤ x ā‰¤ 2šœ‹ We know that tan š›‘/šŸ‘ = āˆš3 & tan (šŸ’š›‘/šŸ‘) = tan (Ļ€" + " Ļ€/3) Therefore, the principal solutions are š‘„ = š›‘/šŸ‘ and šŸ’š›‘/šŸ‘ . General Solution Given tan š‘„ = āˆš3 tan š‘„ = tan Ļ€/3 āˆ“ š‘„ = nš›‘ + š›‘/šŸ‘, where n āˆˆ Z Therefore, the general solution is š‘„ = nĻ€ + Ļ€/3 , where n āˆˆ 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 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.