Cos^2x+cos^2(120°+x)+cos^2(120°-x)i need this asap. pls me

Step-by-step explanation:

Using the addition formulae for cosine

cos(x ± y) = cosxcosy ∓ sinxsiny

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cos(120 + x) = cos120cosx - sin120sinx

                   = - cos60cosx - sin60sinx

                   = - cosx - sinx

squaring to obtain cos² (120 + x)

= cos²x + sinxcosx + sin²x

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cos(120 - x) = cos120cosx + sin120sinx

                   = -cos60cosx + sin60sinx

                   = - cosx + sinx

squaring to obtain cos²(120 - x)

= cos²x - sinxcosx + sin²x

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Putting it all together

cos²x + cos²x + sinxcosx + sin²x + cos²x - sinxcosx + sin²x

= cos²x + cos²x + sin²x

= cos²x + sin²x

= (cos²x + sin²x) =

this was already solved by me with a different person. if you look it up in the search bar at the top of the page, you will get the answer.

step-by-step explanation: