senekal90 senekal90

19-08-2016
Mathematics

Answered

Simplify for 2pts. cos1º + cos2º +cos178º + cos179º

Verified Answer :

19-08-2016

Hello,

\(cos\ (a)+cos\ (b)=2*cos\ ( \frac{a+b}{2} )*cos\ ( \frac{a-b}{2} )\)

cos(1)+cos(179)+cos(2)+cos(178)=2 cos(90)cos(89)+2 cos(90)cos(88)
=2(cos(89)+cos(88))=4(cos(88.5)*cos(0.5))

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