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Special Triangles: 45 o -45 o -90 o 1.1 45° x x Example: 45° 7 7 x x

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Special Triangles: 30 o -60 o -90 o 1.1 2x2x x 60° 30° 20 10 60° 30° Example:

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Trigonometric Ratios 1.2 SOH – CAH – TOA θ 5 12 13 Example:

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Inverse Trigonometric Ratios1.3 SOH – CAH – TOA θ 27 35 When finding angle measures use the inverse of the trigonometric functions: Example:

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Trig Ratios of Complementary Angles 1.4 sin A = cos B cos A = sin B tan A = Examples: 1). sin 40 o = cos 50 o 2). cos 17 o = sin 73 o 3). tan 22 o = 4). If sin A = 0.3, then cos B = 0.3 5). If tan B = ½, then tan A = 2

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Trig Ratios of Similar Triangles 1.4 ΔDOG ~ ΔCAT sin D = sin C cos D = cos C tan D = tan C Examples: sin C = sin D = cos T = cos G = tan C = tan D = 3 4 5

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Chapter 8-3 Trigonometry. Objectives Students will be able to use the sine, cosine, and tangent ratios to determine side lengths and angle measures.

Chapter 8-3 Trigonometry. Objectives Students will be able to use the sine, cosine, and tangent ratios to determine side lengths and angle measures.

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