Question 641426
<pre>
sec˛x - sec˛x·sin˛x

To put that in your calculator

(1/cos(x))˛-(1/cos(x))˛(sin(x))˛

To graph that on a TI-83 or 84, don't press GRAPH, 
but instead press ZOOM, then press 7


Factor out sec˛x

sec˛x(1 - sin˛x)

Use the identity: cos˛x + sin˛x = 1 and solve for cos˛x
                          cos˛x = 1 - sin˛x
So replace 1 - sin˛x by cos˛x

sec˛x(cos˛x)

Then replace sec˛x by {{{1/cos^2(x)}}}

(cos˛x)·{{{1/cos^2(x)}}} =

{{{(cos^2(x))/(cos^2(x))}}} =

           1 

The constant 1.  However, sec˛x - sec˛x·sin˛x is not defined
as 1 or as any number at all when x = any odd multiple of 90°
if you're using degrees or {{{pi/2}}} if you're using radians.                

Edwin</pre>