Find all of the angles which satisfy the given equation Use

Find all of the angles which satisfy the given equation. (Use the parameter k as necessary to represent any integer. Enter your answers as a comma-separated list.) cos() = 1

Solution

cos = -1

= cos^-1(-1)

= pi +2pi*k

where k is an integer

Geberal solution : = pi +2pi*k

k=0 ; =pi

k=1; = 3pi

k=2 ; = 5i

k=3 ; = 7pi ...... and so on

= pi, 3pi, 5i,,,,,,,

= pi +2pi*k