'Evaluate trigonometric functions' presentation slideshows

Trigonometric Functions: The Unit Circle

Trigonometric Functions: The Unit Circle. Section 4.2. Objectives. Identify a unit circle and describe its relationship to real numbers. Evaluate trigonometric functions using the unit circle. Recognize the domain and range of sine and cosine functions

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Splash Screen

Splash Screen. Five-Minute Check (over Chapter 11) CCSS Then/Now New Vocabulary Key Concept: Trigonometric Functions in Right Triangles Example 1: Evaluate Trigonometric Functions Example 2: Find Trigonometric Ratios Key Concept: Trigonometric Values for Special Angles

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Splash Screen

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Warm-Up: February 28, 2014

Warm-Up: February 28, 2014. A man is standing at the top of a cliff, 25 meters above the water below. He is looking out at a boat in the distance. The angle of depression is 30?. How far away from the bottom of the cliff is the boat? How far away is the boat from the man?.

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To convert degrees to radians, divide by 180 and multiply by ? To convert radians to degrees,

An angle is formed by two rays that have a common endpoint. You can generate any angle by fixing one ray, called the initial side , and rotating the other ray, called the terminal side , about the vertex.

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1.4 - Trigonometric Functions of Any Angle

1.4 - Trigonometric Functions of Any Angle. Objectives. Evaluate trigonometric functions of any angle. Use reference angles to evaluate trig functions. Use trig identities to evaluate trig functions Use trig models to solve real world problems. Definitions of trigonometric functions.

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1.4 - Trigonometric Functions of Any Angle

1.4 - Trigonometric Functions of Any Angle. Objectives. Evaluate trigonometric functions of any angle. Use reference angles to evaluate trig functions. Use trig identities to evaluate trig functions Use trig models to solve real world problems. Definitions of trigonometric functions.

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Section 4.3 Right Triangle Trigonometry

Pages 301 - 311. Section 4.3 Right Triangle Trigonometry. Problem of the Day. What you should learn. Evaluate trigonometric functions of acute angles. Use the fundamental trigonometric identities. Use a calculator to evaluate trigonometric functions.

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Chapter 4 Trigonometry Section 4 Trigonometric Functions of Any Angle

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Chapter 4

Chapter 4. 4-4 Trigonometric functions at any angle. Objectives. Students will know how to evaluate trigonometric functions of any angle , Find reference angles Evaluate trigonometric functions of real numbers. Definition. Quadrants of circle. Example#1.

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Section 5.2 Right Triangle Trigonometry

What you should learn How to evaluate trigonometric functions of acute angles. Section 5.2 Right Triangle Trigonometry. Objective: In this lesson you learned how to evaluate trigonometric functions of acute angles and how to use the fundamental trigonometric identities.

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4.3 Right Triangle Trigonometry

4.3 Right Triangle Trigonometry. Objectives: Evaluate trigonometric functions of acute angles Use the fundamental trigonometric identities Use trigonometric functions to model and solve real-life problems. Trigonometric Functions. Given a right triangle with acute angle ?. hyp. opp. ?.

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5.4 Sum and Difference Formulas

5.4 Sum and Difference Formulas. In this section students will use sum and difference formulas to evaluate trigonometric functions, verify identities, and solve trigonometric equations. Section 5.4, Sum and Difference Formulas, pg. 368. Example 1 . Find the exact value of.

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13.3 Evaluating Trigonometric Functions

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Section 4.2 Trigonometric Functions: The Unit Circle

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EXAMPLE 1

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Example 1

Example 1. Evaluate the six trigonometric functions of the angle shown in the triangle. q. SOLUTION. From the Pythagorean theorem, the length of the hypotenuse is,. 5 2. 12 2. 169. 13. =. =. +. Using adj 5 , opp 12 , and hyp 13 , you can write the following. =. =. =.

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EXAMPLE 1

Evaluate the six trigonometric functions of the angle ?. From the Pythagorean theorem, the length of the. hypotenuse is. ?. 169. 13. ?. 5 2 + 12 2. =. =. opp. hyp. 13. 12. sin ?. csc ?. =. =. =. =. 12. hyp. opp. 13. EXAMPLE 1. Evaluate trigonometric functions. SOLUTION.

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13.4 Inverse Trigonometric Functions Notes A

13.4 Inverse Trigonometric Functions Notes A. Using your calculator, find the values below to the nearest thousandth. (a) sin 130 o (b) tan.

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6.3: Trig. Functions of Angles

6.3: Trig. Functions of Angles.

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