Math  /  Trigonometry

Questiontanxcosx=0,0x2π\tan x \cos x=0,0 \leq x \leq 2 \pi

Studdy Solution
Combine the solutions from both cases. The complete set of solutions for the equation tanxcosx=0\tan x \cos x = 0 in the interval [0,2π][0, 2\pi] is:
x=0,π2,π,3π2,2π x = 0, \frac{\pi}{2}, \pi, \frac{3\pi}{2}, 2\pi
The values of xx that satisfy the equation are:
0,π2,π,3π2,2π \boxed{0, \frac{\pi}{2}, \pi, \frac{3\pi}{2}, 2\pi}

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