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) 110views1rankHas a video solution.
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) 95viewsHas a video solution.
Textbook QuestionFind exact values of the six trigonometric functions for each angle A.94viewsHas a video solution.
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. √2105viewsHas a video solution.
Textbook QuestionFind each exact function value. See Example 2. sin 7π/6107viewsHas a video solution.
Textbook QuestionGraph each function over a one-period interval.y = - (1/2) csc (x + π/2)102viewsHas a video solution.
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. √2111viewsHas a video solution.
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. cos(3θ + 11°) = sin( 7θ + 40°) 5 10117viewsHas a video solution.
Textbook QuestionFind exact values or expressions for sin A, cos A, and tan A. See Example 1.96viewsHas a video solution.
Textbook QuestionFind exact values or expressions for sin A, cos A, and tan A. See Example 1.113viewsHas a video solution.
Textbook QuestionDetermine whether each statement is true or false. If false, tell why. tan 60° ≥ cot 40°110viewsHas a video solution.
Textbook QuestionDetermine whether each statement is true or false. If false, tell why. csc 22° ≤ csc 68°114viewsHas a video solution.
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 = 12119viewsHas a video solution.
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 = 7116viewsHas a video solution.
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 = 11149viewsHas a video solution.
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 = 4/5183viewsHas a video solution.
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 = 2233viewsHas a video solution.
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 7169viewsHas a video solution.
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 = 6/7220viewsHas a video solution.
Textbook QuestionWrite each function in terms of its cofunction. Assume all angles involved are acute angles. See Example 2. sin 45°125viewsHas a video solution.
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 8153viewsHas a video solution.
Textbook QuestionIn Exercises 25–30, use an identity to find the value of each expression. Do not use a calculator. sin 37° csc 37°177viewsHas a video solution.
Textbook QuestionWrite each function in terms of its cofunction. Assume all angles involved are acute angles. See Example 2. tan 25.4°112viewsHas a video solution.
Textbook QuestionIn Exercises 28–29, find a cofunction with the same value as the given expression. sin 70°229viewsHas a video solution.
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 10119viewsHas a video solution.
Textbook QuestionWrite each function in terms of its cofunction. Assume all angles involved are acute angles. See Example 2. cos(θ + 20°)91viewsHas a video solution.
Textbook QuestionIn Exercises 25–30, use an identity to find the value of each expression. Do not use a calculator. sec² 23° - tan² 23°277viewsHas a video solution.
Textbook QuestionIn Exercises 31–38, find a cofunction with the same value as the given expression. sin 7°158viewsHas a video solution.
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. See Example 3. tan α = cot(α + 10°)84viewsHas a video solution.
Textbook QuestionIn Exercises 31–38, find a cofunction with the same value as the given expression. csc 25°192viewsHas a video solution.
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. See Example 3. sin(2θ + 10°) = cos(3θ - 20°)79viewsHas a video solution.
Textbook QuestionIn Exercises 31–38, find a cofunction with the same value as the given expression. tan 𝜋 9159viewsHas a video solution.
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. See Example 3. cot(5θ + 2°) = tan(2θ + 4°)112viewsHas a video solution.
Textbook QuestionIn Exercises 31–38, find a cofunction with the same value as the given expression. cos 2𝜋 5184viewsHas a video solution.
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. See Example 3. cos(2θ + 50°) = sin(2θ - 20°)78viewsHas a video solution.
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. See Example 3. sec(3β + 10°) = csc(β + 8°)104viewsHas a video solution.
Textbook QuestionFind one solution for each equation. Assume all angles involved are acute angles. See Example 3. csc(β + 40°) = sec(β - 20°)100viewsHas a video solution.
Textbook QuestionIn Exercises 41–43, find the exact value of each of the remaining trigonometric functions of θ. cos θ = 2/5, sin θ < 0233viewsHas a video solution.
Textbook QuestionDetermine whether each statement is true or false. See Example 4. tan 28° ≤ tan 40°99viewsHas a video solution.
Textbook QuestionDetermine whether each statement is true or false. See Example 4. cos 28° < sin 28° (Hint: sin 28° = cos 62°)98viewsHas a video solution.
Textbook QuestionDetermine whether each statement is true or false. See Example 4. cot 30° < tan 40°108viewsHas a video solution.
Textbook QuestionDetermine whether each statement is true or false. See Example 4. csc 20° < csc 30°110viewsHas a video solution.
Textbook QuestionGive the exact value of each expression. See Example 5. tan 30°109viewsHas a video solution.
Textbook QuestionGive the exact value of each expression. See Example 5. sin 30°103viewsHas a video solution.
Textbook QuestionGive the exact value of each expression. See Example 5. cos 30°118viewsHas a video solution.
Textbook QuestionGive the exact value of each expression. See Example 5. sec 45°104viewsHas a video solution.
Textbook QuestionGive the exact value of each expression. See Example 5. cot 45°118viewsHas a video solution.
Textbook QuestionGive the exact value of each expression. See Example 5. csc 60°113viewsHas a video solution.
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.84viewsHas a video solution.
Textbook QuestionConcept Check Work each problem. What angle does the line y = √3x make with the positive x-axis?106viewsHas a video solution.
Textbook QuestionFind a formula for the area of each figure in terms of s.104viewsHas a video solution.
Textbook QuestionFind a formula for the area of each figure in terms of s.158viewsHas a video solution.