View by Category

Loading...

PPT – Trigonometric Functions of General Angles PowerPoint presentation | free to view - id: 231334-ZDc1Z

The Adobe Flash plugin is needed to view this content

About This Presentation

Write a Comment

User Comments (0)

Transcript and Presenter's Notes

Trigonometric Functions of General Angles

- Unit-5 Chapter-13 Section-3
- William Marinos

What You Will Learn

- Find values of trigonometric functions for

general angles - Use reference angles to find values of

trigonometric functions

Vocab Review

- Initial side A fixed ray along the positive

x-axis - Terminal side A ray that rotates around the

center - Standard position When an angles is positioned

so that its vertex is at the origin and its

initial side is along the positive x-axis

Key Concept

- Let be an angle in standard position and

let P(x,y) be a point on the terminal side of

. Using the Pythagorean Theorem, the distance r

from the origin to P is given by r

. The trigonometric functions of an angle in

standard position may be defined as follows

- Sin
- Cos
- Tan
- Csc
- Sec
- Cot

Examples 1 (pg. 717)

- Find the exact values of the six trigonometric

functions of if the terminal side of

contains the point (5,12). - From the coordinates give, you know that x 5

and y -12. Use the Pythagorean Theorem to find

r. - Pythagorean theorem
- Replace x with 5 and y with

-12. - or 13
- Now use x 5, y -12, and r 13 to write the

ratios.

Quadrantal Angle

- If the terminal side of angle lies on one of

the axes, - is called a quadrantal angle. The quadrantal

angles are 0, 90, 180, and 270 degrees. Either X

or Y will equal 0. Since division by zero is

undefined, two of the trigonometric values are

undefined for each quadrantal angle.

Example 2

- Find the values of the six trigonometric

functions for an angle in standard position that

measures 270 degrees - When 270, x 0 and y -r

Reference Angles

- To find the values of trig functions of angles

greater than 90 degrees (or less than 0 degrees),

you need to know how to find the measures of

reference angles. If is a nonquadrantal

angle in standard position, its reference angle,

, is defined as the acute angle formed by

the terminal side of and the x-axis - The following rule can be used to find the

reference angle for any nonquadrantal angle

where 0 degrees lt lt 360 degrees (or 0 lt

lt2

THE END

About PowerShow.com

PowerShow.com is a leading presentation/slideshow sharing website. Whether your application is business, how-to, education, medicine, school, church, sales, marketing, online training or just for fun, PowerShow.com is a great resource. And, best of all, most of its cool features are free and easy to use.

You can use PowerShow.com to find and download example online PowerPoint ppt presentations on just about any topic you can imagine so you can learn how to improve your own slides and presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

You can use PowerShow.com to find and download example online PowerPoint ppt presentations on just about any topic you can imagine so you can learn how to improve your own slides and presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

Recommended

«

/ »

Page of

«

/ »

Promoted Presentations

Related Presentations

Page of

Home About Us Terms and Conditions Privacy Policy Contact Us Send Us Feedback

Copyright 2017 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

Copyright 2017 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

The PowerPoint PPT presentation: "Trigonometric Functions of General Angles" is the property of its rightful owner.

Do you have PowerPoint slides to share? If so, share your PPT presentation slides online with PowerShow.com. It's FREE!