2. Chapter 5 Lesson 1 Trigonometric Ratios in Right Triangles

3. Vocabulary Angle of Depression- An angle measured downward from a horizontal line Angle of Elevation- An angle measured upward from a horizontal line Minutes- A unit for measuring angles. 60 minutes = 1 degree Seconds- A unit for measuring angles. 60 seconds = 1 minute and 3600 seconds = 1 degree

4. SOH-CAH-TOA Sine = Opposite ÷ Hypotenuse Cosine = Adjacent ÷ Hypotenuse Tangent = Opposite ÷ Adjacent

5. Examples

7. Converting Minutes to Degrees Divide number of minutes by 60, leave as a decimal.

8. Converting Seconds to Degrees Divide the number of seconds by 3600, leave as a decimal

9. Putting it all together…..

10. Finding Sine, Cosine, and Tangent When asked to find sine, cosine, or tangent of a degree measure in terms of minutes and seconds, always change the degree into the decimal form first before using the trig function.

11. Solving Side Lengths of Right Triangles

14. Inverse Trig Functions sin -1 cos -1 tan -1 Found on Calculator by pressing 2 nd, then sin cos or tan.

15. Using Inverse Trig Functions

18. Homework 5-1 Worksheet