Find exact values of the six trigonometric functions of each angle. Rationalize denominators when applicable. See Examples 2, 3, and 5. 300°
3. Unit Circle
Trigonometric Functions on the Unit Circle
3. Unit Circle
Trigonometric Functions on the Unit Circle
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- Textbook Question
Evaluate each expression. See Example 4. cot² 135° - sin 30° + 4 tan 45°
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Use the formula ω = θ/t to find the value of the missing variable.
θ = 3.871 radians, t = 21.47 sec
129views - Textbook QuestionDetermine whether each statement is true or false. If false, tell why. See Example 4.tan² 60° + 1 = sec² 60°598views
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Find all values of θ, if θ is in the interval [0°, 360°) and has the given function value. See Example 6. cos θ = √3 2
706views - Textbook QuestionFind all values of θ, if θ is in the interval [0°, 360°) and has the given function value. See Example 6.sec θ = -√2496views
- Textbook QuestionFind all values of θ, if θ is in the interval [0°, 360°) and has the given function value. See Example 6. √3sin θ = - —— 2480views
- Textbook QuestionFind all values of θ, if θ is in the interval [0°, 360°) and has the given function value. See Example 6. 1cos θ = - — 2541views
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Concept Check Work each problem. Without using a calculator, determine which of the following numbers is closest to sin 115°: -0.9, -0.1, 0, 0.1, or 0.9.
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Find exact values of the six trigonometric functions for each angle. Do not use a calculator. Rationalize denominators when applicable. 120°
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In Exercises 8–13, find the exact value of each expression. Do not use a calculator. sec 22𝜋 3
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