Question 969508
<pre>
sinē&#952; + tanē&#952; + cosē&#952; = secē&#952;

Use two Pythagorean identities on the left side: 
                    sinē&#952;+cosē&#952; = 1 and 1+tanē&#952; = secē&#952;

(sinē&#952; + cosē&#952;) + tanē&#952; 

1 + tanē&#952; 

secē&#952;

Edwin</pre>