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Show by an example that cosC + cosD ≠ cos(C + D).

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Show by an example that cosC + cosD ≠ cos(C + D).

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Let C = 60o and D = 30o, then

L.H.S. = cos C + cos D = cos 60o + cos 30o

R. H. S. = cos (C+D) = cos (60o + 30o) = cos 90o= 0

L.H.S. ≠ R.H.S

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