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Lesson 5.3 Apply the Sine and Cosine Ratios.

Lesson 5.3 Apply the Sine and Cosine Ratios. Georgia Performance Standards: MM2G2a, MM2G2b, MM2G2c. B. Vocabulary. A. C. The sine and cosine ratios are trigonometric ratios for acute angles that involve the lengths of a leg and the hypotenuse of a right triangle.

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Lesson 5.3 Apply the Sine and Cosine Ratios.

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  1. Lesson 5.3Apply the Sine and Cosine Ratios. Georgia Performance Standards: MM2G2a, MM2G2b, MM2G2c

  2. B Vocabulary A C • The sine and cosine ratios are trigonometric ratios for acute angles that involve the lengths of a leg and the hypotenuse of a right triangle. • Let ∆ ABC be a right triangle with acute A. The sine of A and cosine of A (written as sin A and cos A) are defined as follows:

  3. SOH-CAH-TOA SOH CAH TOA B A C

  4. O S H

  5. A C H

  6. O T A

  7. SOH-CAH-TOA • The Legend of Soh-Cah-Toa Mental Princess of the Ages • http://www.themathlab.com/writings/short%20stories/sohcahtoa/overview.htm • Studying Our Homework -Can Always Help - To Obtain Achievement."

  8. Example 1 Find sin X and sin Y. Write each answer as a fraction and as a decimal rounded to four places. SOH

  9. Example 2 Find cos X and cos Y. Write each answer as a fraction and as a decimal rounded to four places. Aren't these the same answers we just had for sin? CAH

  10. Example 4a Use a trigonometric ratio to find the value of x in the diagram. Round to the nearest tenth. Decide what you have in terms of opposite, adjacent, hypotenuse. Which of the three is missing? CAH Solve for x

  11. Example 4b Use a trigonometric ratio to find the value of x in the diagram. Round to the nearest tenth. Decide what you have in terms of opposite, adjacent, hypotenuse. Which of the three is missing? SOH Solve for x

  12. Homework 1 – 3, 7 – 9 page 166

  13. Homework 15, 16, 17 21, and 22 page 167

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