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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