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Find the principal solutions of the equation cos x = 1/2.(a) π/6, 5π/6(b) π/3, 5π/3(c) π/3, 2π/3(d) 2π/3, 5π/3The question was asked during an online interview.Question is taken from Trigonometric Equations in section Trigonometric Functions of Mathematics – Class 11

Answer»

Correct answer is (b) π/3, 5π/3

Explanation: Since COS x is POSITIVE in 1^st and 4^th quadrant, so there are two PRINCIPAL solutions to above EQUATION i.e. x = π/3, 2π-π/3. So, x = π/3, 5π/3.



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