Find all solutions of the equation in the interval [0, 2 pi) 2 cos0-1=0

θ = π/3, 5π/3

Step-by-step explanation:

2 cos θ - 1 = 0

2 cos θ = 1

cos θ = 1/2

θ = π/3, 5π/3

ANSWER

EXPLANATION

The given trigonometric equation is:

The cosine ratio is positive in the first and fourth quadrants.

In the first quadrant,

In the fourth quadrant,

Therefore on the interval, [0,2π] the solution to the given trigonometric equation is:

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