1. Trigonometry Ratios in Right Triangles
6.8
Trigonometry
Ratios in Right Triangles
Objectives:
To find trigonometric ratios using right triangles.
To solve problems using trigonometric ratios.

2. Vocabulary Trigonometry Trigonometric Ratio Opposite Side
Adjacent Side
Hypotenuse
Sine
Cosine
Tangent

3. Usefulness of trigonometry?

4. Vocabulary
Hypotenuse

5. Vocabulary
Sine – The ratio of the length of the opposite side to the length of the hypotenuse.
Cosine – The ratio of the length of the adjacent side to the length of the hypotenuse.
Tangent – The ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

6. SOHCAHTOA
The acronym SOHCAHTOA is your best friend for trigonometry. Write this down. This means you. Seriously!!
SOHCAHTOA

7. Step by Step Instructions
1) SOHCAHTOA 2) Draw a diagram, if needed 3) Circle the angle you have or want (never the right angle), label O, A, H 4) Setup TRIG (What do you have? What do you want?) 5) Do algebra (only 3 possible algebra problems)

8. 3 Types of Algebra Problems from Basic Trigonometry
sin 𝐴= 5 7 sin 20°= 𝑥 10 sin 50° = 25 𝑥
Missing Angle
Missing Side (in numerator)
Missing Side (in denominator)

9. Examples
Round to the tenths place.

10. Examples
Round to the nearest degree.

11. Examples
Round to the nearest degree.

12. Homework
6.8 Worksheet