1 / 15

Section 10.1

Section 10.1. We will be finding exact values of sine and cosine of angles. (using formulas ) Recall trig values of special right triangle angles and quadrantal angles. Simplified radical form (no calculators!). Cosine formulas :. Sine formulas :. Review : special angles. 30°. 2.

kiral
Download Presentation

Section 10.1

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. Section 10.1

  2. We will be finding exact values of sine and cosine of angles. (using formulas) • Recall trig values of special right triangle angles and quadrantal angles. • Simplified radical form (no calculators!)

  3. Cosine formulas:

  4. Sine formulas:

  5. Review: special angles 30° 2 60° 1 S A 45° 1 T C 45° 1

  6. Review: quadrantal angles (cos, sin) • (0,1) (1,0) (-1,0) • • • (0,-1)

  7. Ex. 1: Find the exact value of each expression: (express angle as sum or difference) a.) sin 75 b.) cos 15

  8. Ex. 2: Find the exact value of the expression: a.) sin 285°

  9. Ex. 3: Find the exact value of each expression: (work backwards) a.) sin 80 cos 20 - cos 80 sin 20 b.)

  10. Ex. 4:Prove that the given equation is an identity: (work on one side only)

  11. Example 5: (sketch right triangles in correct quadrants, use Pyth. Theorem where necessary) 13 5 12 3 -5 4 Do not cancel!

  12. Example 6: -12 3 (Be careful of signs!) -5 -4 13 5

  13. Example 7: Simplify: sin (60 + x) – sin (60 – x)

  14. Example 8: Simplify:

  15. Homework 3: Page 373 #2-30 even (skip #20)

More Related