Multiple ChoiceFind the sine, cosine, and tangent of each angle using the unit circle.θ=−1.18\theta=-1.18θ=−1.18 rad, (513,−1213)\left(\frac{5}{13},-\frac{12}{13}\right)(135,−1312) 200views1rank
Multiple ChoiceFind the sine, cosine, and tangent of each angle using the unit circle.θ=225°,(−22,−22)\theta=225\degree,\left(-\frac{\sqrt2}{2},-\frac{\sqrt2}{2}\right)θ=225°,(−22,−22) 162views
Textbook QuestionCONCEPT PREVIEW Match each trigonometric function in Column I with its value in Column II. Choices may be used once, more than once, or not at all. I II 1. A. √3 2. B. 1 3. tan 45° C. ½ 4. D. √3 5. 2 6. E. 2√3 3 F. √3 3 G. 2 H. √2 2 I. √2155views
Textbook QuestionCONCEPT PREVIEW Match each trigonometric function in Column I with its value in Column II. Choices may be used once, more than once, or not at all. I II 1. A. √3 2. B. 1 3. C. ½ 4. D. √3 5. csc 60° 2 6. E. 2√3 3 F. √3 3 G. 2 H. √2 2 I. √2157views
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. cos(3θ + 11°) = sin( 7θ + 40°) 5 10168views
Textbook QuestionFind exact values or expressions for sin A, cos A, and tan A. See Example 1.185views
Textbook QuestionFind exact values or expressions for sin A, cos A, and tan A. See Example 1.183views
Textbook QuestionDetermine whether each statement is true or false. If false, tell why. tan 60° ≥ cot 40°152views
Textbook QuestionDetermine whether each statement is true or false. If false, tell why. csc 22° ≤ csc 68°158views
Textbook QuestionSuppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Use the Pythagorean theorem to find the unknown side length. Then find exact values of the six trigonometric functions for angle B. Rationalize denominators when applicable. See Example 1. a = 5, b = 12182views
Textbook QuestionSuppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Use the Pythagorean theorem to find the unknown side length. Then find exact values of the six trigonometric functions for angle B. Rationalize denominators when applicable. See Example 1. a = 6, c = 7173views
Textbook QuestionSuppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Use the Pythagorean theorem to find the unknown side length. Then find exact values of the six trigonometric functions for angle B. Rationalize denominators when applicable. See Example 1. b = 8, c = 11202views
Textbook QuestionIn Exercises 17–20, θ is an acute angle and sin θ and cos θ are given. Use identities to find tan θ, csc θ, sec θ, and cot θ. Where necessary, rationalize denominators. sin θ = 3/5, cos θ = 4/5230views
Textbook QuestionSuppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Use the Pythagorean theorem to find the unknown side length. Then find exact values of the six trigonometric functions for angle B. Rationalize denominators when applicable. See Example 1. a = √2, c = 2306views
Textbook QuestionIn Exercises 17–20, θ is an acute angle and sin θ and cos θ are given. Use identities to find tan θ, csc θ, sec θ, and cot θ. Where necessary, rationalize denominators. __ sin θ = 6, cos θ = √13 7 7228views
Textbook QuestionIn Exercises 21–24, θ is an acute angle and sin θ is given. Use the Pythagorean identity sin²θ + cos²θ = 1 to find cos θ. sin θ = 6/7289views
Textbook QuestionWrite each function in terms of its cofunction. Assume all angles involved are acute angles. See Example 2. sin 45°184views
Textbook QuestionIn Exercises 21–24, θ is an acute angle and sin θ is given. Use the Pythagorean identity sin²θ + cos²θ = 1 to find cos θ. __ sin θ = √39 8201views
Textbook QuestionIn Exercises 25–30, use an identity to find the value of each expression. Do not use a calculator. sin 37° csc 37°224views
Textbook QuestionWrite each function in terms of its cofunction. Assume all angles involved are acute angles. See Example 2. tan 25.4°163views
Textbook QuestionIn Exercises 28–29, find a cofunction with the same value as the given expression. sin 70°294views
Textbook QuestionIn Exercises 25–30, use an identity to find the value of each expression. Do not use a calculator. sin² 𝜋 + cos² 𝜋 10 10165views
Textbook QuestionWrite each function in terms of its cofunction. Assume all angles involved are acute angles. See Example 2. cos(θ + 20°)135views
Textbook QuestionIn Exercises 25–30, use an identity to find the value of each expression. Do not use a calculator. sec² 23° - tan² 23°353views
Textbook QuestionIn Exercises 31–38, find a cofunction with the same value as the given expression. sin 7°212views
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. See Example 3. tan α = cot(α + 10°)128views
Textbook QuestionIn Exercises 31–38, find a cofunction with the same value as the given expression. csc 25°242views
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. See Example 3. sin(2θ + 10°) = cos(3θ - 20°)127views
Textbook QuestionIn Exercises 31–38, find a cofunction with the same value as the given expression. tan 𝜋 9216views
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. See Example 3. cot(5θ + 2°) = tan(2θ + 4°)154views
Textbook QuestionIn Exercises 31–38, find a cofunction with the same value as the given expression. cos 2𝜋 5243views
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. See Example 3. cos(2θ + 50°) = sin(2θ - 20°)122views
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. See Example 3. sec(3β + 10°) = csc(β + 8°)163views
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. See Example 3. csc(β + 40°) = sec(β - 20°)154views
Textbook QuestionIn Exercises 41–43, find the exact value of each of the remaining trigonometric functions of θ. cos θ = 2/5, sin θ < 0291views
Textbook QuestionDetermine whether each statement is true or false. See Example 4. tan 28° ≤ tan 40°139views
Textbook QuestionDetermine whether each statement is true or false. See Example 4. cos 28° < sin 28° (Hint: sin 28° = cos 62°)141views
Textbook QuestionDetermine whether each statement is true or false. See Example 4. cot 30° < tan 40°150views
Textbook QuestionDetermine whether each statement is true or false. See Example 4. csc 20° < csc 30°150views
Textbook QuestionConcept Check Work each problem. Find the equation of the line that passes through the origin and makes a 30° angle with the x-axis.129views
Textbook QuestionConcept Check Work each problem. What angle does the line y = √3x make with the positive x-axis?146views