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Find the principal solutions of the equation cot x=1/√3.(a) π/3, 4π/3(b) 2π/3, 5π/3(c) 4π/3, 5π/3(d) π/3, 5π/3I had been asked this question in final exam.My doubt stems from Trigonometric Equations topic in division Trigonometric Functions of Mathematics – Class 11

Answer»

Right choice is (a) π/3, 4π/3

For EXPLANATION I would say: SINCE cot x is POSITIVE in 1^st and 3^rd quadrant, so there are TWO principal solutions to above equation i.e. π/3, π + π/3. So, x=π/3, 4π/3.



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