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Question

Find of cosec10+cosec50cosec70.

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Solution

csc10+csc50csc70
=1sin10+1sin(6010)1sin(60+10)
=1sin10+sin(60+10)sin(6010)sin(60+10)sin(60+10)
=1sin10+2cos60sin1034cos21014sin210
=1sin10+4sin103cos210sin210
=3cos210sin210+4sin210sin10(34sin210)
=3sin30
csc10+csc50csc70=6

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