How do you solve Cosx=3cosx-2cosx=3cosx2 and find the general solution?

1 Answer
Apr 13, 2016

General Solution is x=2npix=2nπ, where nn is an integer.

Explanation:

cosx=3cosx-2cosx=3cosx2 is nothing but 2=2cosx2=2cosx or

cosx=1cosx=1

But cosx=1cosx=1 is only when x=0x=0 and as in a general solution we can add or subtract multiples of 2pi2π

General Solution is x=2npix=2nπ, where nn is an integer.