1. Trigonometric Ratios
Geometry

2. Click here to find out
What is trigonometry?

3. Things to know
The following sides are labeled in regards to the angle . It is important to know that the location of the opposite and adjacent sides will change (depending on the angle), but the hypotenuse will always be the same!

4. TRIGONOMETRIC RATIO
A trig ratio is a ratio of the lengths of two sides of a right triangle. There are three basic trig ratios:
sine cosine tangent
sin cos tan

5. Trig Ratios
Trigonometric ratios are frequently expressed as decimal approximations.
You should round the trig ratio to the
ten-thousandths place.

6. What are the 3 trig ratios?

7. SINE

8. COSINE

9. TANGENT

11. Find sin, cos, and tan of A A z x B C y

12. Example
Compare the sine, the cosine, and the tangent ratios for angle A in each triangle below. B B 13 5
6.5
2.5 C 12 A C 6 A

13. Example
Find the sine, the cosine, and the tangent of angle D and angle E. E 50 14 F 48 D

14. Use A Calculator
Use a calculator to approximate the sine, cosine, and tangent of 82 degrees.

15. Use a Calculator
Use a calculator to approximate the sine, cosine, and tangent of 54 degrees.

16. Sin and Cos must always be less than 1!!
Note:
Sin and Cos must always be less than 1!!