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) 210views1rank
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) 169views
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. √2159views
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. √2162views
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. cos(3θ + 11°) = sin( 7θ + 40°) 5 10175views
Textbook QuestionFind exact values or expressions for sin A, cos A, and tan A. See Example 1.192views
Textbook QuestionFind exact values or expressions for sin A, cos A, and tan A. See Example 1.190views
Textbook QuestionDetermine whether each statement is true or false. If false, tell why. tan 60° ≥ cot 40°155views
Textbook QuestionDetermine whether each statement is true or false. If false, tell why. csc 22° ≤ csc 68°163views
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 = 12187views
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 = 7178views
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 = 11207views
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 = 4/5236views
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 = 2314views
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 7232views
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 = 6/7297views
Textbook QuestionWrite each function in terms of its cofunction. Assume all angles involved are acute angles. See Example 2. sin 45°189views
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 8208views
Textbook QuestionIn Exercises 25–30, use an identity to find the value of each expression. Do not use a calculator. sin 37° csc 37°230views
Textbook QuestionWrite each function in terms of its cofunction. Assume all angles involved are acute angles. See Example 2. tan 25.4°170views
Textbook QuestionIn Exercises 28–29, find a cofunction with the same value as the given expression. sin 70°302views
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 10177views
Textbook QuestionWrite each function in terms of its cofunction. Assume all angles involved are acute angles. See Example 2. cos(θ + 20°)139views
Textbook QuestionIn Exercises 25–30, use an identity to find the value of each expression. Do not use a calculator. sec² 23° - tan² 23°358views
Textbook QuestionIn Exercises 31–38, find a cofunction with the same value as the given expression. sin 7°221views
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. See Example 3. tan α = cot(α + 10°)133views
Textbook QuestionIn Exercises 31–38, find a cofunction with the same value as the given expression. csc 25°246views
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. See Example 3. sin(2θ + 10°) = cos(3θ - 20°)131views
Textbook QuestionIn Exercises 31–38, find a cofunction with the same value as the given expression. tan 𝜋 9222views
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. See Example 3. cot(5θ + 2°) = tan(2θ + 4°)160views
Textbook QuestionIn Exercises 31–38, find a cofunction with the same value as the given expression. cos 2𝜋 5248views
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. See Example 3. cos(2θ + 50°) = sin(2θ - 20°)127views
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. See Example 3. sec(3β + 10°) = csc(β + 8°)173views
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. See Example 3. csc(β + 40°) = sec(β - 20°)159views
Textbook QuestionIn Exercises 41–43, find the exact value of each of the remaining trigonometric functions of θ. cos θ = 2/5, sin θ < 0298views
Textbook QuestionDetermine whether each statement is true or false. See Example 4. tan 28° ≤ tan 40°143views
Textbook QuestionDetermine whether each statement is true or false. See Example 4. cos 28° < sin 28° (Hint: sin 28° = cos 62°)147views
Textbook QuestionDetermine whether each statement is true or false. See Example 4. cot 30° < tan 40°157views
Textbook QuestionDetermine whether each statement is true or false. See Example 4. csc 20° < csc 30°155views
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.134views
Textbook QuestionConcept Check Work each problem. What angle does the line y = √3x make with the positive x-axis?151views