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) 215views1rank
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) 176views
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. √2161views
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. √2169views
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. cos(3θ + 11°) = sin( 7θ + 40°) 5 10178views
Textbook QuestionFind exact values or expressions for sin A, cos A, and tan A. See Example 1.200views
Textbook QuestionFind exact values or expressions for sin A, cos A, and tan A. See Example 1.196views
Textbook QuestionDetermine whether each statement is true or false. If false, tell why. tan 60° ≥ cot 40°159views
Textbook QuestionDetermine whether each statement is true or false. If false, tell why. csc 22° ≤ csc 68°164views
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 = 12192views
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 = 7183views
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 = 11212views
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 = 4/5237views
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 = 2320views
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 7235views
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 = 6/7302views
Textbook QuestionWrite each function in terms of its cofunction. Assume all angles involved are acute angles. See Example 2. sin 45°192views
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 8209views
Textbook QuestionIn Exercises 25–30, use an identity to find the value of each expression. Do not use a calculator. sin 37° csc 37°232views
Textbook QuestionWrite each function in terms of its cofunction. Assume all angles involved are acute angles. See Example 2. tan 25.4°173views
Textbook QuestionIn Exercises 28–29, find a cofunction with the same value as the given expression. sin 70°304views
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 10184views
Textbook QuestionWrite each function in terms of its cofunction. Assume all angles involved are acute angles. See Example 2. cos(θ + 20°)141views
Textbook QuestionIn Exercises 25–30, use an identity to find the value of each expression. Do not use a calculator. sec² 23° - tan² 23°363views
Textbook QuestionIn Exercises 31–38, find a cofunction with the same value as the given expression. sin 7°222views
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. See Example 3. tan α = cot(α + 10°)135views
Textbook QuestionIn Exercises 31–38, find a cofunction with the same value as the given expression. csc 25°249views
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. See Example 3. sin(2θ + 10°) = cos(3θ - 20°)134views
Textbook QuestionIn Exercises 31–38, find a cofunction with the same value as the given expression. tan 𝜋 9226views
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. See Example 3. cot(5θ + 2°) = tan(2θ + 4°)164views
Textbook QuestionIn Exercises 31–38, find a cofunction with the same value as the given expression. cos 2𝜋 5250views
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. See Example 3. cos(2θ + 50°) = sin(2θ - 20°)129views
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. See Example 3. sec(3β + 10°) = csc(β + 8°)178views
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. See Example 3. csc(β + 40°) = sec(β - 20°)162views
Textbook QuestionIn Exercises 41–43, find the exact value of each of the remaining trigonometric functions of θ. cos θ = 2/5, sin θ < 0302views
Textbook QuestionDetermine whether each statement is true or false. See Example 4. tan 28° ≤ tan 40°145views
Textbook QuestionDetermine whether each statement is true or false. See Example 4. cos 28° < sin 28° (Hint: sin 28° = cos 62°)149views
Textbook QuestionDetermine whether each statement is true or false. See Example 4. cot 30° < tan 40°159views
Textbook QuestionDetermine whether each statement is true or false. See Example 4. csc 20° < csc 30°156views
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.139views
Textbook QuestionConcept Check Work each problem. What angle does the line y = √3x make with the positive x-axis?155views