1. Warm Up
The terminal side of angle θ in standard position lies on the given line in the given quadrant. Find sin θ, cos θ, and tan θ. 7.

2. Chapter 4 Understanding Trigonometric Functions
- Secant, Cosecant, and Cotangent Functions and Solving Right Triangles
Language Objectives: We will learn more about trigonometric functions by using worksheet 11E

3. Secant, Cosecant, and Cotangent Functions
What is the definitions of sine, cosine, and tangent?

4. Are there any other way to write these co-functions?

5. The angle of elevation is the acute angle formed by the horizontal to the line of sight.

6. Example
Sharon is standing on the beach looking at the lighthouse. The top of a lighthouse is 150 meters above sea level. Using an hypsometer, Sharon measures the angle to the top of the lighthouse to be 48°. How far is Sharon from the lighthouse?

7. Example 2
The 20 ft flag pole in front of the Boys and Girls Club casts a 35ft shadow.
If Jose stands at the end of the shadow and looks up to the top of the flag pole, what is the angle of elevation to the nearest degree?

8. Example 3
A 15-foot flagpole stands atop the high school. From a point P in front of
the school, the angle of elevation to the top of the pole is 50º, and the angle of elevation to the bottom of the pole is 47º. To the nearest foot, how high is the building? Draw a diagram of the problem.
Let h = the height of the building
Let d = the distance from P to the building.

9. Exit directions  Do: By yourself complete the Worksheet 11E.
Put: In box No. 3
Finish By: 10.40
When done do: Find other proofs of the Pythagorean Theorem.