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Right Triangle Trigonometry: Solving for Trigonometric Functions and Identities

Explore right triangle trigonometry concepts, including opposite, hypotenuse, and adjacent sides. Discover how to find the trigonometric functions of theta and use Quotient and Pythagorean Identities. Practice evaluating expressions using calculators and converting angle measurements. Solve real-world problems like determining the height of objects based on angles of elevation.

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Right Triangle Trigonometry: Solving for Trigonometric Functions and Identities

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  1. 4.3 Right Triangle Trigonometry It’s for Trigonometric Functions and Right Triangles. opposite side hypotenuse adjacent side

  2. Ex. Find the six trig. functions of theta. h = 5 4 3 QuotientIdentities Pythagorean Identities

  3. Ex. Use a calculator to evaluate First, change the deg, min, sec, to a decimal. 1.00492 Note: Make sure your calculator is in degree mode.

  4. Find the height of the tree if a surveyor is 50 ft. from the base of the tree and measures the angle of elevation to the top of the tree as 71.5o. h 50’

  5. A 40 ft. flag pole casts a 30 ft. shadow. Find the angle of elevation. 40’ To find , take the INV tan. 30’

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