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Find the principal solutions of the equation tan x = – √3.(a) π/6, 5π/6(b) π/3, 5π/3(c) π/3, 2π/3(d) 2π/3, 5π/3This question was posed to me in a job interview.My query is from Trigonometric Equations in section Trigonometric Functions of Mathematics – Class 11

Answer»

The CORRECT CHOICE is (d) 2π/3, 5π/3

Explanation: Since tan X is negative in 2^nd and 4^th quadrant so, there are two PRINCIPAL solutions to above equation i.e. x = π – π/3, 2π – π/3. So, x=2π/3, 5π/3.



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