How do you find the general solutions for cos(x) = 0.6?

2 Answers
Jun 18, 2018

2npi+-cos^(-1)(0.6)

Explanation:

normally you can get
x=cos^(-1)(0.6)
using
cos(-x)=cos(x)
x is also -cos^(-1)(0.6)
Because
cos(x+2npi)=cos(x)(n=integer number)
general solutions for cos(x)=0.6 is
2npi+-cos^(-1)(0.6)

Jun 19, 2018

x = +- 53^@13 + k360^@

Explanation:

cos x = 0.6
Calculator and unit circle give 2 solutions for x -->
x = +- 53^@13 + k360^@