Evaluate Cos75+Cos15
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The exact value of cos(75) is √6−√24 6 - 2 4 . Split 75 75 into two angles where the values of the six trigonometric functions are known.
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cos(90-x)=sinx then cos(75)=sin15 letsina=m and cosb=n then m+n=√m^2+n^2+2mn=√1+2sinacosa,we know 2sinacosa=sin2a(identify)so solving it we get√1+1/2=√3/2
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