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Trigonometric Functions

Explore the essential trigonometric functions: Sine (Sin), Cosine (Cos), and Tangent (Tan), crucial for solving right triangles. Learn how to identify the sides of a right triangle: opposite, adjacent, and hypotenuse, and how these functions relate to angle measurements (theta). Discover trigonometric ratios through practical examples, including Sin, Cos, and Tan values for various angles. Use the inverse functions (Sin-1, Cos-1, Tan-1) to find angle measures based on given ratios. Enhance your understanding of geometry and trigonometry with helpful charts.

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Trigonometric Functions

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  1. Trigonometric Functions Sine Cosine Tangent & Right Triangles

  2. General Diagram • q – acute angle measure (theta) • o – opposite side • a – adjacent side • h - hypotenuse h o q a

  3. The trigonometric functions abbreviations • Sine Sin • Cosine Cos • Tangent Tan

  4. Find the trigonometric ratios chart in the back of your textbook…Look up… • Sin 33° 0.5446 • Cos 59° 0.5150 • Tan 11° 0.1944 • Sin-1 0.9397 70° • Cos-1 0.8988 26° • Tan-1 11.4301 85°

  5. Look up…to find the angle measure • Sin-1 0.5160 closest to 31° • Cos-1 0.1390 closest to 82° • Tan-1 0.9661 closest to 44°

  6. The trigonometric functions o • Sine Sin q = • Cosine Cos q = • Tangent Tan q = h a h o a

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