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Trigonometric Ratios

Trigonometric Ratios. Chapter 9.5. New Vocabulary. Trigonometric Ratio: The ratio of the lengths of two sides or a right triangle. The three basic trigonometric ratios are SINE , COSINE , and TANGENT . OPPOSITE?? ADJACENT??. Trigonometric Ratios Explained. B. HYPOTENUSE. c. Side

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Trigonometric Ratios

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  1. Trigonometric Ratios Chapter 9.5

  2. New Vocabulary • Trigonometric Ratio: The ratio of the lengths of two sides or a right triangle. • The three basic trigonometric ratios are SINE, COSINE, and TANGENT. • OPPOSITE?? • ADJACENT??

  3. Trigonometric Ratios Explained B HYPOTENUSE c Side OPPOSITE <A a A C b Side ADJACENT to <A

  4. Trigonometric Ratios SINE (SOH) B HYPOTENUSE c Side OPPOSITE <A a A C b Side ADJACENT to <A Sin A = Side Opposite <A = O = a HypotenuseHc

  5. Trigonometric Ratios COSINE (CAH) B HYPOTENUSE c Side OPPOSITE <A a A C b Side ADJACENT to <A Cos A = Side Adjacent <A = A = b HypotenuseHc

  6. Trigonometric Ratios TANGENT (TOA) B HYPOTENUSE c Side OPPOSITE <A a A C b Side ADJACENT to <A Tan A = Side Opposite <A = O = a Side Adjacent <A A b

  7. !” “

  8. What COLOR side is OPPOSITE <A? A

  9. What COLOR side is ADJACENT TO <A? A

  10. What COLOR side is the HYPOTENUSE? A

  11. X 15 17 Y 8 Z What is the sin of <X ?

  12. X 13 5 Y Z 12 What is the tan of <Y ?

  13. Y 50 X 14 48 Z What is the cos of <X ?

  14. H 9100 8400 3500 What are the sin, cos, and tan of <H?

  15. Using a Calculator to Find Trigonometric Ratios for Specific Angles • You can find the trigonometric ratios for specific angles using a calculator… • Step 1: Make sure your calculator is in DEGREES!!! • Go to MODE, and select degrees if necessary. • Step 2: Select the button for the trig. function you would like to use. • Step 3: Type the angle measure into the parenthesis. • Step 4: Close parenthesis and press enter! • Step 5: Round the answer to the desired number of decimal places.

  16. Using a Calculator to Find Trigonometric Ratios for Specific Angles ROUND ANSWERS to four decimal places! Example 1: What is the sine of 25 degrees? Example 2: What is the tangent of 18 degrees? Example 3: What is the cosine of 49 degrees?

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