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Question

23cos430°-sin445°-3sin260°-sec245°+14cot230°=?
(a) 5312
(b) 7324
(c) 11324
(d) 8312

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Solution

(c) 11324


23cos4 30o-sin4 45o-3sin2 60o-sec2 45o+14cot2 30o=23324-124-3322-22+14×32=23916-14-334-2+34=23×516-3×-54+34=524+154+34=5+90+1824=11324

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