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**trigonometry trigonometric ratio sine cosine tangent inverse sine**

inverse cosine inverse tangent Vocabulary

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Concept

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**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

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**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

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**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

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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

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Concept

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**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

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

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**Solve the right triangle**

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

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EXAMPLE 1 Finding Trigonometric Ratios For PQR, write the sine, cosine, and tangent ratios for P. SOLUTION For P, the length of the opposite side is 5.

EXAMPLE 1 Finding Trigonometric Ratios For PQR, write the sine, cosine, and tangent ratios for P. SOLUTION For P, the length of the opposite side is 5.

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