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02-04-2020
Mathematics

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Solve, finding all the solutions in [O, 2pi).
cot(x) cos(x) + cot(x) = 0

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MathPhys MathPhys

02-04-2020

Step-by-step explanation:

cot(x) cos(x) + cot(x) = 0

cot(x) (cos(x) + 1) = 0

cot(x) = 0 or cos(x) = -1

cot(x) = 0

x = π/2, 3π/2

x ≠ 0, π

cos(x) = -1

x = π

Therefore, the answer is x = π/2, 3π/2.

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