Sine, Cosine and Tangent Ratios

1. Sine, Cosine and Tangent Ratios Sections 9.1 & 9.2

3. SOH CAHTOA sin angle = _____ cos angle = _____ tan angle = _____

4. Example 1: Use the triangle to write each ratio. sin T = sin G = cos T = cos G = tan T = tan G =

5. Quick Check: Write the sine, cosine and tangent ratios. When does the sine X = cos Y? What is the relationship between tan X and tan Y?

6. Example 2

7. Example 3 A 20-ft wire supporting a flagpole forms a 35° angle with the flagpole. To the nearest foot, how high is the flagpole?

8. Example 4 To measure the height of a tree, Alma walked 125 feet from the tree and measured a 32° angle from the ground to the top of the tree. Estimate the height of the tree.

9. Example 5

10. Example 6 Find the value of x.

11. Example 7