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9 -3 Trigonometry

9 -3 Trigonometry. Unit 9- Right Triangles and Trigonometry. Notes. Trigonometry is the study of the relationships between angles and side lengths in a triangle. Similar right triangles have equivalent ratios for their corresponding sides called trigonometric ratios. Trigonometric Ratios.

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9 -3 Trigonometry

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  1. 9-3 Trigonometry Unit 9- Right Triangles and Trigonometry

  2. Notes • Trigonometry is the study of the relationships between angles and side lengths in a triangle. • Similar right triangles have equivalent ratios for their corresponding sides called trigonometric ratios.

  3. Trigonometric Ratios • tangent

  4. Shortened Version! • sin A = opp cos A = adj tan A = opphyphypadj • A common acronym to help you remember: • SOH CAH TOA

  5. Notes • Trigonometric ratios can be used to find side length in a right triangle.

  6. Examples • 1.) What are the sine, cosine and tangent ratios for <P?

  7. Examples • 2.) A cliff forms an angle of 84° with a lake. If you stand on the edge of a cliff and drop a rock at a height of 48 ft above the water, how far from the cliff will the rock strike the water? Round to the nearest whole foot.

  8. Notes • If you know the sin, cos, or tan ratio for an angle, you can use an inverse function (sin-1, cos-1, tan-1) to find the measure of an angle.

  9. Examples • 3.) What is m<T to the nearest degree? • A.)

  10. Examples • 3.) What is m<T to the nearest degree? • B.)

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