<PRE><B>Question 437998</B>
&lt;font face=&quot;Times New Roman&quot; size=&quot;+2&quot;&gt;


Use the formula for the tangent of the difference:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \tan(A\ -\ B)\ =\ \frac{\tan(A)\ -\ \tan(B)}{1\ +\ \tan(A)\tan(B)}]


Just plug in the given values:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \tan(\phi\ -\ \theta)\ =\ \frac{\frac{3}{4}\ -\ \frac{1}{2}}{1\ +\ \frac{3}{4}\,\cdot\,\frac{1}{2}}]


and do the arithmetic.





John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
&lt;div style=&quot;text-align:center&quot;&gt;&lt;a href=&quot;http://outcampaign.org/&quot; target=&quot;_blank&quot;&gt;&lt;img src=&quot;http://cdn.cloudfiles.mosso.com/c116811/scarlet_A.png&quot; border=&quot;0&quot; alt=&quot;The Out Campaign: Scarlet Letter of Atheism&quot; width=&quot;143&quot; height=&quot;122&quot; /&gt;&lt;/a&gt;&lt;/div&gt;
&lt;/font&gt;</PRE>