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mathematics
precalculus

Questions and Answers of Precalculus

In Problems 49–74, establish each identity. sin (70) = sin
In Problems 51–72, establish each identity. cot cot - tan + tan 0 cos (20)
In Problems 49–74, establish each identity. cos(π 0) = -cose -
Find an expression for sin(5θ) as a fifth-degree polynomial in the variable sinθ.
In Problems 51–72, establish each identity. cot (20) cot²01 2 cot0
In Problems 51–72, establish each identity. cot (20) = (cote- tane)
In Problems 49–74, establish each identity. sin ( + 0) = -sin
In Problems 51–58, find the exact value of each expression. 5. cos: 12
In Problems 51–58, find the exact value of each expression.sin165°
In Problems 51–58, find the exact value of each expression.tan105°
In Problems 51–58, find the exact value of each expression. sin(- 5/4 12
In Problems 51–72, establish each identity. sec (20) = sec²0 2 sec²0
In Problems 49–74, establish each identity. tan (π - 0) 0) = -tan0
In Problems 51–72, establish each identity. csc (20) = 1 - sec 0csc0 2
In Problems 49–74, establish each identity. tan(2π - 0) - tan
In Problems 51–72, establish each identity. cos² (2u)- sin² (2u) = cos(4u)
In Problems 49–74, establish each identity. sin (37 + 0) = 2 = -cos
In Problems 51–58, find the exact value of each expression. π tan- 8
In Problems 51–72, establish each identity. (4 sinu cosu)(1- 2 sin² u) = sin(4u)
In Problems 51–58, find the exact value of each expression. 5п sin- 8
In Problems 49–74, establish each identity. (37 + 0) = 2 cos sin 0
In Problems 51–58, find the exact value of each expression.cos80°cos20° + sin80°sin20°
In Problems 51–58, find the exact value of each expression.sin70°cos40° − cos 70°sin40°
In Problems 15–22, the displacement d (in meters) of an object at time t (in seconds) is given.(a) Describe the motion of the object.(b) What is the maximum displacement from its rest position?(c)
In Problems 19–28, find the exact value of each expression. Do not use a calculator. cos 10° sin 80°
In Problems 17–32, solve each triangle.b = 2, c = 4, A = 75°
In Problems 19–28, find the exact value of each expression. Do not use a calculator. cos 40° sin 50⁰
In Problems 19–26, solve each triangle.A = 55°, B = 25°, a = 4
In Problems 17–28, find the area of each triangle. Round answers to two decimal places.b = 1, c = 8, A = 75°
In Problems 19–28, find the exact value of each expression. Do not use a calculator.tan12° − cot 78°
In Problems 15–22, the displacement d (in meters) of an object at time t (in seconds) is given.(a) Describe the motion of the object.(b) What is the maximum displacement from its rest position?(c)
In Problems 21–25, find the area of each triangle.a = 2, b = 3, C = 40°
In Problems 17–32, solve each triangle.a = 5, c = 3, B = 105°
In Problems 9–16, find the area of each triangle. Round answers to two decimal places. a B C 4 3 30°
In Problems 9–16, solve each triangle. 2 45° C 4 b A
In Problems 19–26, solve each triangle.B = 64°, C = 47°, b = 6
In Problems 17 – 28, find the area of each triangle. Round answers to two decimal places.a = 3, c = 2, B = 115°
In Problems 9–16, solve each triangle. 2 B 95⁰ C 3 تا A
In Problems 9–16, solve each triangle. а B C 4 3 30°
In Problems 21–25, find the area of each triangle.b = 4, c = 10, A = 70°
In Problems 11–18, solve each triangle. a 45° 95⁰ 5 b A
In Problems 21–25, find the area of each triangle.a = 4, b = 3, c = 5
In Problems 9–16, solve each triangle. 2 20° C 5 b A
Graph the rational function R(x) = 2x²7x4 x2 x² + 2x 15 -
In Problems 17–32, solve each triangle.a = 2, b = 3, C = 70°
The motion of an object is given by d(t) = 4 cos(6t). Such motion is described as_____ ______ . The number 4 is called the _______.
In Problems 9–16, find the area of each triangle. Round answers to two decimal places. 5 В сл 94° C 7 A
The area K of a triangle with sides a , b , and c is K = ______, where s = _______.
In Problems 9–16, solve each triangle. B 6 C 8 5 A
In Problems 7–10, an object attached to a coiled spring is pulled down a distance a from its rest position and then released. Assuming that the motion is simple harmonic with period T, find a
In Problems 11–18, solve each triangle. a 40° 4 b 45°
Solve the triangle for which side a is 20, side c is 15, and angle C is 40°.
In Problems 11–18, solve each triangle. B a 85⁰ C 3 50°
In Problems 9–16, find the area of each triangle. Round answers to two decimal places. 2 20⁰ C 5 b A
In Problems 9–16, find the area of each triangle. Round answers to two decimal places. B 7 9 C 4 A
In Problems 9–16, solve each triangle. B 8 4 A C 5 сл
In Problems 11–18, solve each triangle.12.In Problems 11 – 18 , solve each triangle. 30° a 125° C 10 A
In Problems 9–18, find the exact value of the six trigonometric functions of the angle θ in each figure. 3 4 01
In Problems 9–18, find the exact value of the six trigonometric functions of the angle θ in each figure. 2 1 อ
In Problems 9–16, find the area of each triangle. Round answers to two decimal places. B 8 4 A C 5 сл
In Problems 9–16, solve each triangle. B 4 9 A C 6
In Problems 11–18, solve each triangle. a 45° C C 7 40°
In Problems 11–18, solve each triangle. 5° a 5 b -10°
In Problems 9–18, find the exact value of the six trigonometric functions of the angle θ in each figure. √3 0 2
Solve: log3 (x + 8) + log3 x = 2
In Problems 9–16, solve each triangle. B 4 4 C 3 A
In Problems 9–16, find the area of each triangle. Round answers to two decimal places. B 4 4 C 3 A
In Problems 11–18, solve each triangle. a 40° 100° C 2 A
In Problems 9–18, find the exact value of the six trigonometric functions of the angle θ in each figure. √5 0
In Problems 11–18, solve each triangle. a 30° C C 100° 6
In Problems 8–20, find the remaining angle(s) and side(s) of each triangle, if it (they) exists. If no triangle exists, say “No triangle.”a = 1, b = 1/2, c = 4/3
In Problems 15–22, the displacement d (in meters) of an object at time t (in seconds) is given.(a) Describe the motion of the object.(b) What is the maximum displacement from its rest position?(c)
In Problems 17–28, find the area of each triangle. Round answers to two decimal places.a = 3, b = 4, C = 50°
In Problems 9–18, find the exact value of the six trigonometric functions of the angle θ in each figure. 2 6 √5
In Problems 15–22, the displacement d (in meters) of an object at time t (in seconds) is given.(a) Describe the motion of the object.(b) What is the maximum displacement from its rest position?(c)
In Problems 19–28, find the exact value of each expression. Do not use a calculator. tan 20° cos 70° cos 20°
In Problems 21–25, find the area of each triangle.A = 50°, B = 30°, a = 1
In Problems 17–32, solve each triangle.a = 20, b = 29, c = 21
In Problems 19–28, find the exact value of each expression. Do not use a calculator. cot 40° sin 50° sin 40°
In Problems 19–26, solve each triangle.A = 40°, B = 40°, c = 2
In Problems 17–28, find the area of each triangle. Round answers to two decimal places.a = 4, b = 4, c = 4
In Problems 17–32, solve each triangle.a = 4, b = 5, c = 3
In Problems 17–28, find the area of each triangle. Round answers to two decimal places.a = 3, b = 3, c = 2
In Problems 17–32, solve each triangle.a = 2, b = 2, c = 2
In Problems 27–34, graph each function by adding y-coordinates.f (x) = x + cos x
In Problems 17–28, find the area of each triangle. Round answers to two decimal places.a = 11, b = 14, c = 20
In Problems 17–32, solve each triangle.a = 3, b = 3, c = 2
In Problems 27–34, graph each function by adding y-coordinates.f (x) = x + cos(2x)
In Problems 17–32, solve each triangle.a = 6, b = 11, c = 12
In Problems 27–34, graph each function by adding y-coordinates.f (x) = x − sin x
In Problems 27–38, two sides and an angle are given. Determine whether the given information results in one triangle, two triangles, or no triangle at all. Solve any resulting triangle(s).b = 9, c
In Problems 27–34, graph each function by adding y-coordinates.f (x) = x − cos x
In Problems 17–32, solve each triangle.a = 15, b = 13, c = 3
In Problems 27–34, graph each function by adding y-coordinates.f (x) = sin x + cos x
In Problems 27 – 38 , two sides and an angle are given. Determine whether the given information results in one triangle, two triangles, or no triangle at all. Solve any resulting triangle(s).a = 7,
In Problems 31–36, use the results of Problem 29 or 30 to find the area of each triangle. Round answers to two decimal places.A = 40°, B = 20°, a = 2
In Problems 29–42, use the right triangle shown below. Then, using the given information, solve the triangle.a = 6, A = 40°; find b, c, and B В C a A b
In Problems 27–34, graph each function by adding y-coordinates.f (x) = sin(2x) + cos x
In Problems 31–36, use the results of Problem 29 or 30 to find the area of each triangle. Round answers to two decimal places.A = 50°, C = 20°, a = 3
A highway whose primary directions are north–south is being constructed along the west coast of Florida. Near Naples, a bay obstructs the straight path of the road. Since the cost of a bridge is

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