Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class
Finding General Solutions
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Finding General Solutions
Last updated at May 29, 2023 by Teachoo
Question 1 Find the principal and general solutions of the equation tan π₯ = β3 Given tan π₯ = β3 Principal Solution Principal solution is when 0 β€ x β€ 2π We know that tan π/π = β3 & tan (ππ/π) = tan (Ο" + " Ο/3) Therefore, the principal solutions are π₯ = π/π and ππ/π . General Solution Given tan π₯ = β3 tan π₯ = tan Ο/3 β΄ π₯ = nπ + π/π, where n β Z Therefore, the general solution is π₯ = nΟ + Ο/3 , where n β Z