How do you evaluate #csc((-321pi)/3))#?

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Answer 1 · 2015-06-23T18:35:56

-#oo#

Write #csc(-321pi/3)#= -csc #107pi#= -csc (#106pi +pi#)

#106 pi# = #53 (2pi)# =0

Hence -csc#107pi#= -csc#pi#= - #oo#

Answer 2 · 2015-06-24T03:02:37

Find #csc ((-321pi)/3)#

Call # ((-321pi)/3) = x#

#sin x = sin (-107pi) = sin (-pi - (53)2pi) = sin (-pi) = 0#

Therefor #csc x = 1/sin x = 1/0# -> undefined