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simplify cosec40(sin40+sin80+cos120)

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cosec40(sin40+sin80+cos120)
= (1/sin40)(sin40 + sin80 + cos120)
= 1 + sin80/sin40 + cos120/sin40
= 1 + 2sin40cos40/sin40 -1/(2sin40)
= 1 + 2cos40 - (1/2)csc40
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sin80*
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