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Question

Without using calculator, find the value of cos570o.sin510o+sin(330o).cos(390o).

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Solution

cos5700sin5100+sin(330)cos(3900)degreechangeintoradiuscos(π+300)sin(3π300)sin(2π300)cos(2π+3)cos300×sin300+sin300×cos30032×12+12×32=0Ans

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