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) =

c

step-by-step explanation:

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.