Find the principal solutions of the equation cos x = 1/2.

Question

Find the principal solutions of the equation cos x = 1/2.


A. π/3, 2π/3
B. 2π/3, 5π/3
C. π/3, 5π/3
D. π/6, 5π/6


Answer: C

Solution:

Since cos x is positive in 1st and 4th 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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