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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.

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Section 10.1

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  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)

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