<PRE><B>Question 1058831</B>
Evaluate the following expression.
sin(90°-&amp;#952;)*tan(&amp;#952;)*sec(&amp;#952;)

A)  sin(&amp;#952;)
B)  cos(&amp;#952;)
C)  tan(&amp;#952;)
D)  cot(&amp;#952;)
&lt;pre&gt;&lt;b&gt;&lt;font size = 4&gt;
The word &quot;cosine&quot;, &quot;&lt;u&gt;CO&lt;/u&gt; &lt;u&gt;SINE&lt;/u&gt;&quot;, is an abbreviation for &lt;u&gt;CO&lt;/u&gt;mplement&#39;s &lt;u&gt;SIN&lt;/u&gt;e.

90°-&amp;#952; is the &lt;u&gt;CO&lt;/u&gt;mplement of &amp;#952;, so sin(90°-&amp;#952;) is the 
&lt;u&gt;CO&lt;/u&gt;mplement of &amp;#952;&#39;s &lt;u&gt;SIN&lt;/u&gt;e, so 

sin(90°-&amp;#952;) equals cos(&amp;#952;).

Therefore:

sin(90°-&amp;#952;)*tan(&amp;#952;)*sec(&amp;#952;) = 

cos(&amp;#952;)*tan(&amp;#952;)*sec(&amp;#952;) =

Use reciprocal identity for sec(&amp;#952;):

{{{cos(theta)*tan(theta)*expr( 1/cos(theta) )}}}{{{&quot;&quot;=&quot;&quot;}}}

{{{cross(cos(theta))*tan(theta)*expr( 1/cross(cos(theta)) )}}}{{{&quot;&quot;=&quot;&quot;}}}
 
{{{tan(theta)}}}

Edwin&lt;/pre&gt;&lt;/b&gt;&lt;/pre&gt;</PRE>