Simplify the following? csc(arctan(sec(arccos(-3/5))))

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Answer 1 · 2016-08-05T15:15:35

#-sqrt 34/5#

#arc cos(-3/5) in Q2#, wherein secant is negative..

Now, #=csc(arc tan(sec(arcarc cos(-3/5)))) #

#= csc(arc tan(sec(arc sec(-5/3))))#

#=csc(arc tan(-5/3))#

#=csc(arc csc(-sqrt34/5))#

#=-sqrt 34 / 5#.-

Note that #arc tan (-5/3) in Q4#, wherein csc is negative.
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