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Unit 5 – Intro to Trigonometry

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Unit 5 – Intro to Trigonometry

  1. 1. Daniel atkins, kerrymindiak, ginaschnecker, kelly thorn<br />Unit 5 – Intro to Trigonometry<br />
  2. 2. Radians!<br />
  3. 3. To Convert…<br />To convert degrees to radians, multiply degrees by<br />Practice:<br />1) 135° = ?<br />2) -270° = ?<br />
  4. 4. Answers!<br />1)<br />2)<br />
  5. 5. To Convert…<br />To convert radians to degrees, multiply radians by<br />Practice:<br />1)<br />2) <br />
  6. 6. Answers!<br />1) -90°<br />2) 810°<br />
  7. 7. Law of Sines<br />
  8. 8. The Law!<br />Two angles and any side (AAS, ASA)<br />Two sides and an angle opposite them (SSA  the ambiguous case)<br />
  9. 9. Problems!<br />1)<br />C<br />102.3°<br />a<br />b= 27.4 ft<br />28.7°<br />B<br />A<br />c<br />
  10. 10. Problems!<br />2) <br />A<br />38°<br />15<br />b<br />63°<br />B<br />C<br />a<br />
  11. 11. Problems!<br />3) <br />C<br />33<br />50<br />132°<br />A<br />B<br />
  12. 12. Answers!<br />1) A= 49.0°, c= 55.75, a= 43.06<br />2) C= 79°, a= 9.41, b= 13.6<br />3) NO SOLUTION! <br />
  13. 13. Law of Cosines<br />
  14. 14. The Law!<br />Three sides (SSS)<br />Two sides and their included angle (SAS)<br />
  15. 15. Problems!<br />1) <br />B<br />14<br />8<br />A<br />C<br />19<br />
  16. 16. Problems<br />2) <br />C<br />a<br />15<br />115°<br />A<br />B<br />10<br />
  17. 17. Answers!<br />1) A= 22.08°, B= 116.80°, C= 41.12°<br />2) a= 21.26, B= 39.75°, C= 25.25°<br />
  18. 18. Dun…dun…dun!<br />The Unit Circle!<br />
  19. 19. The Circle!<br />MEMORIZE THIS!!!<br />
  20. 20. Problems!<br />1) Sin 60°= ?<br />2) Sin 30°= ?<br />3) Cos 45°= ?<br />4) Cos 135°= ?<br />5) Tan 45°= ?<br />6) Tan 210°= ?<br />
  21. 21. Answers!<br />1) 5) 1<br />2) 6) <br />3)<br />4) <br />

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