1 / 16

Tangents, Sines , and Cosines

Tangents, Sines , and Cosines. What you need to know. Review. To find the length of a side using the tan button on your calculator: Type in the measurement of the adjacent side, then hit the TAN button, then type in the degree measurement of the angle. Hit enter. EX: Type in:

yoshio-meadows
Download Presentation

Tangents, Sines , and Cosines

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Tangents, Sines, and Cosines What you need to know.

  2. Review • To find the length of a side using the tan button on your calculator: • Type in the measurement of the adjacent side, then hit the TAN button, then type in the degree measurement of the angle. Hit enter. • EX: Type in: • 70◦ 45TAN70= X You should get 123.6364839 round to the nearest tenth, so 123.6

  3. What about those tangent ratios we did? • When do you use that ratio? When you need to find an angle measurement. • EX: C 403 TANA= 403/685 B A 685 To find the degree measurement of angle A, type in your calculator: 2nd TAN 403/685 ENTER. You should get 30.46920015. Round to the nearest tenth, so 30.5 is the measure of angle A, or TANA=30.5.

  4. You try: • What is the degree measurement of angle F, or TANF? D 12ft E F 16ft

  5. Answer • You should have entered into your calculator 2nd TAN 12/16 ENTER and the answer you should have is 36.9

  6. Try again: • What is the degree measurement of angle D, or TAND? D 12ft E F 16ft

  7. Answer • You should have entered into your calculator: 2nd TAN 16/12 ENTER. The answer you should have is 53.1. What you are doing here is using the inverse tangent function. Big words you need to remember.

  8. Assignment • PAGE 568 8-17 • You have 20 minutes to do this and turn it in! I am grading this!!!

  9. SINE and COSINE • Formulas you need to know: • SINE: leg opposite COSINE: leg adjacent hypotenuse hypotenuse Sine and Cosine are used when you have one leg measurement and the hypotenuse measurement and you need the angle measurement. Depending on the information you have, you use sine or cosine.

  10. Example: SINA=BC SINB= AC AB AB B • Leg opposite hypotenuse angle A • Leg adjacent angle B C leg opposite B A leg adjacent A COSA = AC COSB= BC AB AB

  11. B Example: 12 7 • SINA: 7/12 • COSA: 10/12 • SINB: 10/12 • COSB: 7/10 A C 10 These are called sine ratios and cosine ratios, Like the tangent ratios we did Friday. Notice anything? The Sines and Cosines of one angle are exactly opposite of the Sines and Cosines of the other angle. Hmm.

  12. P You try: 13 5 • SINR: • COSR: • SINP: • COSP: R Q Answers: SINR: 5/13 COSR: 13/5 SINP: 13/5 COSP: 5/13

  13. What if you know the length of the hypotenuse and the measurement of the angle, but you need to measurement of the leg? • Enter into your calculator: Measure of the hypotenuse SIN 20 Enter Or 8395SIN20= You should get 2871.3 feet. B 20 8395ft 20 A C

  14. You try: • Fine the measurement of BC. B 20 72 m 15 A C

  15. Answer: • You should have entered into your calculator: • 72SIN15= • The answer: 18.6 m B 20 72 m 15 A C

  16. Assignment: • Page 576 12-29 all • You have to turn this in!!! If you do not finish in class, this is homework-it is due at the beginning of class tomorrow-I WILL GRADE THIS BEFORE WE GO OVER IT!!!!!!!

More Related