Find all solutions of the equation. (Enter your answer in the form a + bπn, where a [0, 2π), b is the smallest possible positive number, and n represents any integer. Round a to four decimal places.) cos (x) = - 1

Question

Mathematics

Abigayle Dunlap

30 April, 09:59

Find all solutions of the equation. (Enter your answer in the form a + bπn, where a [0, 2π), b is the smallest possible positive number, and n represents any integer. Round a to four decimal places.) cos (x) = - 1

+5

Answers (1)

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Stafford · Answer 1

Cos (x) = - 1

thus x=arccos (-1) = 180=π

also, cos (x) = - 1 when:

x=π,3π,5π, ...

The above is a sequence that can be modeled by:

xn = (2π+nπ)

where, n=1,3,5, ... (set of all odd numbers)