Question 1087885
<pre>
{{{(csc^""(x)^""+cot^""(x))^2}}}{{{""=""}}}

Change to sines and cosines:

{{{(1/sin(x)+1/tan(x))^2}}}

Make up a value for x, say 20°.

Use a calculator to calculate

{{{(1/sin("20°")+1/tan("20°"))^2=32.16343748}}}

Now calculate each of those:

a. {{{(cos("20°")-1)^2/sin^2("20°")=0.0310912041}}}
b. {{{(cos("20°")+1)^2/sin^2("20°")=32.16343748}}}
c. {{{(sin("20°")-1)^2/cos^2("20°")=0.4902905966}}}
d. {{{(sin("20°")+1)^2/cos^2("20°")=2.039606729}}}

So the correct choice is b.

Edwin</pre>