some special result on cosine

\[cosA cos (60+A)cos (60+A)=\frac{1}{4}cos 3A\]

LHS=\[cosA cos (60+A)cos (60+A)\]

       =\[cosA cos^260-sin^2 A\]

      =\[cosA ( \frac{1}{4}-sin^2 A)\]

     =\[cosA ( \frac{1}{4}-(1-sin^2 A))\]

  =\[\frac{1}{4}(4cos^3(A)-3sinA))\]

=\[\frac{1}{4}cos3A\]

For A=20 we get 0.125

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