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Understanding Right Triangle Trigonometry and Cofunction Identities

This lesson covers the application of trigonometric identities in right triangles and cofunction identities. We start by defining an acute angle and explore real-world examples, including a surveyor measuring the height of a tree using an angle of elevation, and calculating the angle between a walking path and a river's edge. Through these examples, we will illustrate how to apply trigonometric principles effectively. Homework problems are provided for further practice to reinforce learning.

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Understanding Right Triangle Trigonometry and Cofunction Identities

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Presentation Transcript

  1. Right Triangle Trig 4-3-3

  2. Cofunction identities

  3. Applying trig identities • Let be an acute angle such that . Find the values of and .

  4. Example • A surveyer is standing 50 ft from the base of a large tree. The surveyor measures the angle of elevation to the top of the tree as 71.5. How tall is the tree?

  5. Example • You are 200 yds from a river. Rather than walking directly to the river, you walk 400 yds along a straight path to the rivers edge. Find the acute angle between this path and the river’s edge.

  6. Homework • Pg274#29-32, 57-65 odd

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