1. trigonometry trigonometric ratio sine cosine tangent inverse sine
inverse cosine
inverse tangent
Vocabulary

2. Mathematical Practices
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.
G-SRT.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
Mathematical Practices
4 Model with mathematics.
1 Make sense of problems and persevere in solving them.
Vocabulary

3. Concept

4. Find Sine, Cosine, and Tangent Ratios
A. Express sin L, cos L, and tan L as a fraction & as a decimal to the nearest hundredth.
B. Express sin N, cos N, tan N as a fraction & as a decimal to the nearest hundredth.
Example 1

5. A. Express sin A, cos A, and tan A as a fraction & as a decimal to the nearest hundredth.
B. Express sin B, cos B, and tan B as a fraction & as a decimal to the nearest hundredth.
Example 1

6. Estimate Measures Using Trigonometry
EXERCISING A fitness trainer sets the incline on a treadmill to 7°. The walking surface is 5 feet long. Approximately how many inches did the trainer raise the end of the treadmill from the floor?
Example 3

7. CONSTRUCTION The bottom of a handicap ramp is 15 feet from the entrance of a building. If the angle of the ramp is about 4.8°, about how high does the ramp rise off the ground to the nearest inch?
Example 3

8. Concept

9. A. Use a calculator to find the measure of P to the nearest tenth.
Find Angle Measures Using Inverse Trigonometric Ratios
A. Use a calculator to find the measure of P to the nearest tenth.
B. Use a calculator to find the measure of D to the nearest tenth.
Example 4

10. Solve a Right Triangle
Solve the right triangle. Round side measures to the nearest hundredth and angle measures to the nearest degree.
Example 5

11. Solve the right triangle
Solve the right triangle. Round side measures to the nearest tenth and angle measures to the nearest degree.
A. mA = 36°, mB = 54°, AB = 13.6
B. mA = 54°, mB = 36°, AB = 13.6
C. mA = 36°, mB = 54°, AB = 16.3
D. mA = 54°, mB = 36°, AB = 16.3
Example 5