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I need help in math can you please help me

I Need Help In Math Can You Please Help Me class=

Sagot :

We need to verify the trigonometric identity:

[tex]\begin{gathered} \frac{1}{\sec(x)+\tan(x)}+\frac{1}{\sec(x)-\tan(x)}=\frac{\sec (x)+\tan (x)+\sec (x)-\tan (x)}{(\sec (x)+\tan (x))(\sec (x)-\tan (x))} \\ \frac{1}{\sec(x)+\tan(x)}+\frac{1}{\sec(x)-\tan(x)}=\frac{2\sec (x)}{\sec ^2(x)-\tan ^2(x)} \\ \frac{1}{\sec(x)+\tan(x)}+\frac{1}{\sec(x)-\tan(x)}=2\sec (x) \end{gathered}[/tex]