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

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Concept

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Example 1 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.

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Example 1 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.

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Example 3 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?

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Example 3 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?

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Concept

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Example 4 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.

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

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Example 5 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 Solve the right triangle. Round side measures to the nearest tenth and angle measures to the nearest degree.

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