1. How did you use math (Geometry) during your spring break?
Warm-Up
How did you use math (Geometry) during your spring break?

2. Lesson 8-4 Trigonometry
Day #1 pp

3. Objectives Find trigonometric ratios using right triangles.
Solve problems using trigonometric ratios.

4. Benchmarks
1b. Given exact irrational solutions, determine the best rational estimation. (DOK 2) 1c. Solve real-world or application problems that involve square roots and the Pythagorean Theorem. (DOK 3) 4b. Solve real-world applications and mathematical problems to find missing measurements in right triangles by applying special right triangle relationships, geometric means, or trigonometric functions. (DOK 2) 4e. Apply the relationships of sine, cosine, and tangent to problems involving right triangles. (DOK 2)

5. Trigonometry
A branch of mathematics developed for use by astronomers and surveyors.
Used to calculate distance or measurements
Comes from two Greek terms
Trigon: triangle
Metron: measure

6. Trigonometric Ratios
Ratio of the lengths of the sides of a right triangle
Three most common ratios
Sine
Cosine
Tangent
These three ratios
are the
“SIN”, “COS”, and “TAN”
that you see
on your calculators!

7. Identify the Sides of a Triangle
Notice the symbol used to
represent the angle!

8. Theta
The greek letter Theta is used in geometry to represent an angle.

9. Identify the Sides of a Triangle
Which side is the
hypotenuse of this triangle? 

10. Identify the Sides of a Triangle
Which side of the triangle is the side adjacent (or beside) the angle? 

11. Identify the Sides of a Triangle
Which side of the triangle is the
side opposite the angle? 

12. You must be able to identify the hypotenuse of the triangle
and the sides opposite and
adjacent to a particular
angle to do well in
Trigonometry!

13. Check Your Understanding p. 460
For each angle (angles A and B), identify the hypotenuse, adjacent side, and opposite side.
Angle A
Hypotenuse:
Adjacent Side:
Opposite Side: AB AC BC
Angle B
Hypotenuse:
Adjacent Side:
Opposite Side: AB BC AC

14. Questions

15. Trigonometry: Identifying the Sides of Right Triangles Worksheet
Practice
Trigonometry: Identifying the Sides of Right Triangles Worksheet