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Geometry 4/7/14 Obj : SWBAT use trig ratios Chapter 8 Take Home Test Agenda

Geometry 4/7/14 Obj : SWBAT use trig ratios Chapter 8 Take Home Test Agenda Bell Ringer: Go over Quiz pg 450 #4-8 Homework Requests: pg 699 #1-4, pg 694 #1-14 H omework : Chapter 8 Take Home Test; Due Thursday Announcements:. Finding sides from angles.

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Geometry 4/7/14 Obj : SWBAT use trig ratios Chapter 8 Take Home Test Agenda

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  1. Geometry 4/7/14 • Obj: SWBAT use trig ratios • Chapter 8 Take Home Test • Agenda • Bell Ringer: Go over Quiz • pg450 #4-8 • Homework Requests:pg 699 #1-4, pg 694 #1-14 • Homework: • Chapter 8 Take Home Test; Due Thursday • Announcements:

  2. Finding sides from angles Introduction to Trigonometry

  3. Trigonometry is… • A branch of geometry used first by the Egyptians and Babylonians (Iraq) • Used extensively is astronomy and building • Based on ratios between angles in RIGHT Triangles

  4. Ratio Name sine cosine tangent cotangent secant cosecant Abbreviation sin cos tan cot sec csc The ratios have names and abbreviations…

  5. The Trigonometric (trig) ratios: FUNCTION INVERSE FUNCTION

  6. Also true are…

  7. Here we name one angle Theta Is the Greek letter Theta

  8. opposite adjacent We could ask for the trig functions of the angle by using the definitions. You MUST get them memorized. Here is a mnemonic to help you.  c The sacred Jedi word: b SOHCAHTOA SOHCAHTOA  INE a ANGENT OSINE PPOSITE DJACENT PPOSITE DJACENT YPOTENUSE YPOTENUSE

  9. If you know the sine, cosine, or tangent of an acute angle measure, you can use the inverse trigonometric functions to find the measure of the angle.

  10. !IMPORTANT! To solve trig functions in the calculator, make sure to set your MODE to DEGREES • Directions: Press MODE, arrow down to Radian Arrow over to Degrees Press ENTER

  11. Example:Find the missing side lengths.

  12. You try: • Find the hypotenuse length and the values of the 5 other trig functions for: Hint: use a2 + b2 = c2 to find the hypotenuse!

  13. Did you get…

  14. Why is this useful? • Imagine being an Ancient Egyptian. They had no calculators, no computers. They could use one angle and a pyramid’s side length to find the other side lengths.

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