Question

Why is `1-cos^3x=(1-cosx)(1-2cosx+cos^2x)` a conditional equation?

Answer 1

Any equation that is true for some values of a variable and not true for other values is a conditional equation

Explanation:

Check this link out .

For this equation

`1-cos^3x = (1-cosx)(1-2cosx+cos^2x)`
`cancel(1-cos^3x) = cancel(1) - 2cosx +cos^2x-cosx+2cos^2x-cancel(cos^3x)`
`3(cos^2x-cosx) = 0`
`cos^2x - cosx =0`

This equation is valid and true only for values of x that satisfy this equation. So this is a conditional equation.