1. Find x.
Problem of the Day 8

2. Section 8-4a Trigonometry

3. Then
Now
Objectives
You used the Pythagorean Theorem to find missing lengths in right triangles.
Find trigonometric ratios using right triangles.

4. Common Core State Standards
Content Standards
G.SRT.6 – Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
G.SRT.7 – Explain and use the relationship between the sine and cosine of complementary angles.
Mathematical Practices
1) Make sense of problems and persevere in solving them.
5) Use appropriate tools strategically.
Common Core State Standards

5. The word trigonometry comes from two Greek terms, trigon, meaning triangle, and metron, meaning measure. A trigonometric ratio is a ratio of the lengths of two sides of a right triangle.
Vocabulary

7. Find sin J, cos J, tan J, sin K, cos K, and tan K
Find sin J, cos J, tan J, sin K, cos K, and tan K. Express each ratio as a fraction and as a decimal to the nearest hundredth.
Example 1

8. Find sin J, cos J, tan J, sin L, cos L, and tan L
Find sin J, cos J, tan J, sin L, cos L, and tan L. Express each ratio as a fraction and as a decimal to the nearest hundredth.
Example 1

9. Find x. Round to the nearest hundredth if necessary.
Example 3

10. Find x. Round to the nearest hundredth if necessary.
Example 3

11. Find x. Round to the nearest hundredth if necessary.
Example 3

12. p.573 #1 – 6, 8 – 10, 28 – 33
Homework