Math  /  Trigonometry

QuestionFind all solutions of the equation in the interval [0,2π)[0,2 \pi). cosθ4=3\cos \theta-4=-3
Write your answer in radians in terms of π\pi. If there is more than one solution, separate them with commas.

Studdy Solution
Determine all solutions within the interval [0,2π)[0, 2\pi). Since the cosine function is periodic with a period of 2π2\pi, and cosθ=1\cos \theta = 1 at θ=0\theta = 0, there are no additional solutions in the interval [0,2π)[0, 2\pi).
The solution for θ\theta in the interval [0,2π)[0, 2\pi) is:
0\boxed{0}

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