×

Let's log you in.

or

Don't have a StudySoup account? Create one here!

×

or

16

0

5

Review Sheet for MATH 1330 at UH

Marketplace > University of Houston > Review Sheet for MATH 1330 at UH

No professor available

These notes were just uploaded, and will be ready to view shortly.

Either way, we'll remind you when they're ready :)

Get a free preview of these Notes, just enter your email below.

×
Unlock Preview

COURSE
PROF.
No professor available
TYPE
Class Notes
PAGES
5
WORDS
KARMA
25 ?

Popular in Department

This 5 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Houston taught by a professor in Fall. Since its upload, it has received 16 views.

×

Reviews for Review Sheet for MATH 1330 at UH

×

×

What is Karma?

You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 02/06/15
Example 2 Find x 5J5 Ll Example 3 gtlt m Example 4 Example 5 I Example 6 Find x I Example 7 Find x x Example 8 Find x 30 10 Example 9 Find x The Six Trigonometric Functions of an Angle Suppose we are given a right triangle ABC where AC 90 We de ne the trigonometric functions of either of the acute angles of the triangle as follows length of the side opposite 0 sin 19 length of hypoteneuse cos 0 length of the Side adjacent t0 19 length of hypoteneuse tang length of the side 0pp0s1te 19 length of the Side adjacent t0 0 cs length of the hypoteneuse length of the side opposite 19 sec 0 length of the hypoteneuse length of the side adjacent t0 t9 cote length of the Side adjacent t0 19 length of side opposite t0 t9 Example 10 Given AABC a Find a b Find the six trigonometric functions of angle A c Find the six trigonometric functions of angle B Example 11 Find the six trigonometric functions of a and 15 Example 12 Suppose that ADEF is a right triangle andD is an acute angle If sinD g find the other five trig functions of angle D Example 13 Suppose that 6 an acute angle in a right triangle and csct9 Find the other five trig functions of angle 0 Example 14 Suppose that 6 an acute angle in a right triangle and tan 0 g Find the other five trig functions of angle 0 Example 15 Find the six trigonometric functions of angles measuring 30 degrees 45 degrees and 60 degrees Math 1330 Section 41 Special Triangles and Trigonometric Functions In this section we ll work with some special triangles before moving on to de ning the six trigonometric functions Two special triangles are 30 60 90 triangles and 45 45 90 triangles With little additional information you should be able to nd the lengths of all sides of one of these special triangles First we ll review some conventions when working with triangles We label angles with capital letters and sides with lower case letters We ll use the same letter to refer to an angle and the side opposite it although the angle will be a capital letter and the side will be lower case In this section we will work with right triangles Right triangles have one angle which measures 90 degrees and two other angles whose sum is 90 degrees The side opposite the right angle is called the hypoteneuse and the other two sides are called the legs of the triangle A labeled right triangle is shown below b C In a 30 60 90 triangle the lengths ofthe sides are proportional Ifthe shorter leg the side opposite the 30 degree angle has length a then the longer leg has length xga and the hypoteneuse has length 2a An easy way to remember this is to write the lengths in ratio form as a J36 2a So if you know or can nd a you can nd the lengths of all three sides In a 45 45 90 triangle the two legs ofthe triangle are equal in length This triangle is also called an isosceles right triangle Ifthe legs each measure a then the hypoteneuse has length xEa The ratio to remember for these triangles is a a xEa Again if you know a you can nd the lengths of all three sides Example 1 Find x

×

25 Karma

×

×

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

Why people love StudySoup

Bentley McCaw University of Florida

"I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"

Janice Dongeun University of Washington

"I used the money I made selling my notes & study guides to pay for spring break in Olympia, Washington...which was Sweet!"

Bentley McCaw University of Florida

"I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"

Parker Thompson 500 Startups

"It's a great way for students to improve their educational experience and it seemed like a product that everybody wants, so all the people participating are winning."

Become an Elite Notetaker and start selling your notes online!
×

Refund Policy

STUDYSOUP CANCELLATION POLICY

All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email support@studysoup.com

STUDYSOUP REFUND POLICY

StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here: support@studysoup.com

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to support@studysoup.com