prove that cos42+cos78+cos162=0
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Answer:
cos42+cos78+cos162=0
cos(60-18)+cos(60+18)+cos(180-18)=0
now apply formula,
cos60.cos18+sin60.sin18+cos60.cos18-sin60.sin18-cos18=0
2×1/2.cos18-cos18=0
cos18=cos18
L.H.S =R.H.S PROVED.
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