SOLUTION: Solve the following two trigonometric equations: 1. cos 2pix = 1 2. cos 2pix = -1 (Please show your step-by-step solution)

SOLUTION: Solve the following two trigonometric equations: 1. cos 2pix = 1 2. cos 2pix = -1 (Please show your step-by-step solution)

Algebra.Com

Question 1105468: Solve the following two trigonometric equations:
1. cos 2pix = 1
2. cos 2pix = -1
(Please show your step-by-step solution)
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
1. cos 2pix = 1
cos(2pi*x) = 1
2pi*x = 0 + 2n*pi --- n = integer
x = 0 + n --- n = integer
================
2. cos(2pi*x) = -1
2pi*x = pi + 2n*pi --- n = integer
x = 1/2 + n --- n = integer

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