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Trigonometry Advanced Geometry Trigonometry Lesson 3
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Parts of a Right Triangle acute angle acute angle hypotenuse opposite leg adjacent leg opposite leg adjacent leg hypotenuse – the side of a right triangle opposite the right angle adjacent leg – the leg of a right triangle that is also a side of the given acute angle opposite leg – the leg of a right triangle that is not also a side of the given acute angle
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Sine Ratio Abbreviated: sin hypotenuse opposite leg
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Cosine Ratio Abbreviated: cos hypotenuse adjacent leg
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Tangent Ratio Abbreviated: tan opposite leg adjacent leg
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Example: Use ∆ ABC with right angle C to find sin A, cos A, tan A, sin B, cos B, and tan B. Express each ratio as a fraction, and as a decimal to the nearest hundredth. AB = 17, BC = 15, and AC = 8 Write the Ratio Problems
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Examples: Use a calculator to find each value. Round to the nearest ten-thousandth. tan 56ºcos 89º Find the Value Problems
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In problems where either an angle OR side measure is missing, set up a trigonometric ratio as shown below. tan Missing Measure Problems Ratio Name of the Trig. Ratio Angle Measure or variable = 47=
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Examples: Find x. Round to the nearest tenth.
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Examples: Find x. Round to the nearest tenth.
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Examples: Find x. Round to the nearest tenth.
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Example: A fitness trainer sets the incline on a treadmill to 7º. 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: Find x and y. Round to the nearest tenth.
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