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

• trigonometry

• trigonometric ratio

• sine

• cosine

• tangent

• inverse sine

• inverse cosine

• inverse tangent

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.

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.

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?

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?

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.

Solve a Right Triangle

Solve the right triangle. Round side measures to the nearest hundredth and angle measures to the nearest degree.

A. mA = 36°, mB = 54°, AB = 13.6

B. mA = 54°, mB = 36°, AB = 13.6

C. mA = 36°, mB = 54°, AB = 16.3

D. mA = 54°, mB = 36°, AB = 16.3

Solve the right triangle. Round side measures to the nearest tenth and angle measures to the nearest degree.