Trig Proof

**Brndo4u** · March 10th 2010, 07:32 PM

Im caught up on this proof... need some help

CosX/SecX+SinX/CscX=Sec^2X-Tan^2X

**Jhevon** · March 10th 2010, 08:29 PM

Originally Posted by Brndo4u

Im caught up on this proof... need some help

CosX/SecX+SinX/CscX=Sec^2X-Tan^2X

Note that the left hand side is $\cos^2 x + \sin^2 x = 1$

Now recall that $1 + \tan^2 x = \sec^2 x$

What can you conclude?

**db5vry** · March 10th 2010, 11:40 PM

Originally Posted by Brndo4u

Im caught up on this proof... need some help

CosX/SecX+SinX/CscX=Sec^2X-Tan^2X

Think of $secx$ as $\frac{1}{cosx}$ and $cosecx$ as $\frac{1}{sinx}$ . when you've got something like

$\frac{cosx}{1/cosx}$ then do you think that this could equate to $cos^2 x$ ? Does this help you for the rest of the question if you can recall other identities that you need?

**Brndo4u** · March 11th 2010, 05:33 AM

Yes, that I see what you guys are saying... I need to use the Recip ID, Which in the end will give me Sin^2 & Cos^2. That will become 1 and Sec^2 & Tan^2 will also be 1...So, 1 =1

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