# Tutor.com Trigonometric Functions Session

##### Mar. 14, 2012

Session Transcript - Math - Trigonometry, 3/5/2012 8:03PM - Tutor.comSession Date: 3/5/2012 8:03PM
Length: 12.8 minute(s)
Subject: Math - Trigonometry

System Message
[00:00:00] *** Please note: All sessions are recorded for quality control. ***

Jennifer (Customer)
[00:00:00] Complete the last step to prove the following identity. Express in terms of tan and/or cot. 1 + tan^2 x/tan^2 x = csc^2x. Answer: _____^2 ____ = csc^2 x.

Elizabeth C (Tutor)
[00:00:27] Hi! I can see you posted a problem, how can I help you with it?

Jennifer (Customer)
[00:00:50] I basically just need help solving the problem...

Elizabeth C (Tutor)
[00:01:07] Sure, no problem. Do you have an idea where to start?

Jennifer (Customer)
[00:01:56] well, I know that we just need to use trigonometric equations to solve for csc^2x.

Elizabeth C (Tutor)
[00:02:12] Sounds good.
[00:02:24] Shall we work with the left side, since it's a little more complicated?

Jennifer (Customer)
[00:02:45] sure.

Elizabeth C (Tutor)
[00:02:55] Great
[00:03:47] Let's start with that. There are several ways you can do this, so... Where do you want to start?

Jennifer (Customer)
[00:04:25] well would the Tan's cancel each other?

Elizabeth C (Tutor)
[00:04:51] Not quite, but we can work with that idea if you'd like

Jennifer (Customer)
[00:05:10] ok.

Elizabeth C (Tutor)
[00:05:42] We can break up the fraction first, and then you might be able to cancel

Jennifer (Customer)
[00:05:54] ok.

Elizabeth C (Tutor)
[00:06:20] How does that look?

Jennifer (Customer)
[00:06:28] good.

Elizabeth C (Tutor)
[00:06:49] Ok, so what do you want to do from here?

Jennifer (Customer)
[00:07:22] do those two cancel?
[00:07:34] and leave us with 1/tan^2 x?

Elizabeth C (Tutor)
[00:07:54] The tan^2 x/tan^2 x would cancel to become 1.

Jennifer (Customer)
[00:07:59] ok.

Elizabeth C (Tutor)
[00:08:17] So you're left with 1/tan^2x +1

Jennifer (Customer)
[00:08:26] ok.

Elizabeth C (Tutor)

Jennifer (Customer)
[00:08:53] thinking...
[00:09:29] would 1/tan^2x become cot^2x?

Elizabeth C (Tutor)
[00:09:38] Yes it would

Jennifer (Customer)
[00:09:58] cool!

Elizabeth C (Tutor)
[00:10:08] And the last step is?

Jennifer (Customer)
[00:10:38] it then becomes csc^2 x.

Elizabeth C (Tutor)
[00:10:54] Yep!

Jennifer (Customer)
[00:11:01] Awesome!

Elizabeth C (Tutor)