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) 204views1rank
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) 164views
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. √2157views
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. √2160views
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. cos(3θ + 11°) = sin( 7θ + 40°) 5 10173views
Textbook QuestionFind exact values or expressions for sin A, cos A, and tan A. See Example 1.188views
Textbook QuestionFind exact values or expressions for sin A, cos A, and tan A. See Example 1.188views
Textbook QuestionDetermine whether each statement is true or false. If false, tell why. tan 60° ≥ cot 40°153views
Textbook QuestionDetermine whether each statement is true or false. If false, tell why. csc 22° ≤ csc 68°160views
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 = 12184views
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 = 7175views
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 = 11205views
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 = 4/5233views
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 = 2310views
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 7229views
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 = 6/7292views
Textbook QuestionWrite each function in terms of its cofunction. Assume all angles involved are acute angles. See Example 2. sin 45°187views
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 8204views
Textbook QuestionIn Exercises 25–30, use an identity to find the value of each expression. Do not use a calculator. sin 37° csc 37°227views
Textbook QuestionWrite each function in terms of its cofunction. Assume all angles involved are acute angles. See Example 2. tan 25.4°166views
Textbook QuestionIn Exercises 28–29, find a cofunction with the same value as the given expression. sin 70°299views
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 10171views
Textbook QuestionWrite each function in terms of its cofunction. Assume all angles involved are acute angles. See Example 2. cos(θ + 20°)137views
Textbook QuestionIn Exercises 25–30, use an identity to find the value of each expression. Do not use a calculator. sec² 23° - tan² 23°356views
Textbook QuestionIn Exercises 31–38, find a cofunction with the same value as the given expression. sin 7°219views
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. See Example 3. tan α = cot(α + 10°)130views
Textbook QuestionIn Exercises 31–38, find a cofunction with the same value as the given expression. csc 25°244views
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. See Example 3. sin(2θ + 10°) = cos(3θ - 20°)129views
Textbook QuestionIn Exercises 31–38, find a cofunction with the same value as the given expression. tan 𝜋 9218views
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. See Example 3. cot(5θ + 2°) = tan(2θ + 4°)157views
Textbook QuestionIn Exercises 31–38, find a cofunction with the same value as the given expression. cos 2𝜋 5244views
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. See Example 3. cos(2θ + 50°) = sin(2θ - 20°)124views
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. See Example 3. sec(3β + 10°) = csc(β + 8°)170views
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. See Example 3. csc(β + 40°) = sec(β - 20°)157views
Textbook QuestionIn Exercises 41–43, find the exact value of each of the remaining trigonometric functions of θ. cos θ = 2/5, sin θ < 0293views
Textbook QuestionDetermine whether each statement is true or false. See Example 4. tan 28° ≤ tan 40°141views
Textbook QuestionDetermine whether each statement is true or false. See Example 4. cos 28° < sin 28° (Hint: sin 28° = cos 62°)145views
Textbook QuestionDetermine whether each statement is true or false. See Example 4. cot 30° < tan 40°155views
Textbook QuestionDetermine whether each statement is true or false. See Example 4. csc 20° < csc 30°153views
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.132views
Textbook QuestionConcept Check Work each problem. What angle does the line y = √3x make with the positive x-axis?149views