<PRE><B>Question 782739</B>
&lt;font face=&quot;Times New Roman&quot; size=&quot;+2&quot;&gt;


2)  Given *[tex \LARGE \cos\theta\ =\ \frac{24}{25}\ \ ] and *[tex \LARGE \ \ 0\ &lt;\theta&lt;\ \frac{\pi}{2}], find *[tex \LARGE \cos(2\theta)]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \cos(2\varphi)\ =\ 2\cos^2\varphi\ -\ 1]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \cos(2\theta)\ =\ 2\left(\frac{24}{25}\right)^2\ -\ 1]


Just do the arithmetic.


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
&lt;font face=&quot;Math1&quot; size=&quot;+2&quot;&gt;Egw to Beta kai to Sigma&lt;/font&gt;
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>