How do you simplify the expression $(cos^2x-1)/(2-cos^2x+cosx)$ ?

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Answer 1 · 2016-09-03T07:09:07

$(1-cosx)/(cosx-2)$

Let's change signs in the fraction to have:

$-(cos^2 x-1)/(cos^2 x-cos x-2)$

then let's factor:

$-((cos x-1)(cancel(cos x+1)))/((cosx-2)(cancel(cos x +1)))$

that is

$(1-cosx)/(cosx-2)$

How do you simplify the expression (cos^2x-1)/(2-cos^2x+cosx)(cos^2x-1)/(2-cos^2x+cosx)?