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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 5.3Apply 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. • Let ∆ ABC be a right triangle with acute A. The sine of A and cosine of A (written as sin A and cosA) are defined as follows:
SOH-CAH-TOA SOH CAH TOA B A C
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."
Example 1 Find sin X and sin Y. Write each answer as a fraction and as a decimal rounded to four places. SOH
Example 2 Find cos X and cos Y. Write each answer as a fraction and as a decimal rounded to four places. CAH Aren't these the same answers?
Example 4a Use a trigonometric ratio to find the value of x in the diagram. Round to the nearest tenth.
Example 4b Use a trigonometric ratio to find the value of x in the diagram. Round to the nearest tenth. SOH
