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mathematics
precalculus
Precalculus Concepts Through Functions A Unit Circle Approach To Trigonometry 5th Edition Michael Sullivan - Solutions
In Problems 61–84, solve each equation on the interval 0 ≤ θ < 2π. 2 sin 20 sin 0 - 1 = 0
In Problems 39 – 62, find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator. tan (tan-17)
In Problems 39 – 62, find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator. sin[sin-¹ (-1.5)]
In Problems 61–84, solve each equation on the interval 0 ≤ θ < 2π. sin ² 0 - 1 = 0
In Problems 21–100, establish each identity. sin sin cose + 1 + cos0 - 1 || sin 0 + 1 cos
In Problems 61–70, write each trigonometric expression as an algebraic expression in u.sin(sec−1 u)
In Problems 39 – 62, find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator. sin[sin-¹ (-2)]
In Problems 61–84, solve each equation on the interval 0 ≤ θ < 2π. 2 cos²0+ cose = 0
In Problems 61–70, write each trigonometric expression as an algebraic expression in u.tan(cos−1 u)
In Problems 21–100, establish each identity. tan+sec 0 - 1 tan 0 sec 0 + 1 tan + sece
In Problems 61–70, write each trigonometric expression as an algebraic expression in u.sin(cos−1 u)
In Problems 49–60, use a calculator to solve each equation on the interval 0 ≤ θ < 2π. Round answers to two decimal places. 4 cos 0 + 30
In Problems 61–70, write each trigonometric expression as an algebraic expression in u.cos(tan−1 u)
In Problems 21–100, establish each identity. sin cos cos²0 - sin ²0 || tan 0 1 tan ²0
In Problems 33–60, find the exact value of each expression. sin-¹(cos 37) 4
In Problems 33–60, find the exact value of each expression. 7π in IT) 6 cos- cos-1 sin-
In Problems 33–60, find the exact value of each expression. csc(tan-11)
In Problems 21–100, establish each identity. tano + COS 1 + sin seco
In Problems 21–100, establish each identity. cos 1 tan 0 - + sin 0 1 - cote sin + cos
In Problems 49–60, use a calculator to solve each equation on the interval 0 ≤ θ < 2π. Round answers to two decimal places. 4 cot0 = -5
In Problems 21–100, establish each identity. cot 1 tane + 1 tan cote = 1+ tan0+ cote
In Problems 49–60, use a calculator to solve each equation on the interval 0 ≤ θ < 2π. Round answers to two decimal places. 3 sin 0 - 2 = 0
In Problems 33–60, find the exact value of each expression. 12√5) sec sin-1,
In Problems 33–60, find the exact value of each expression. cot|cos-1- √√3 3
In Problems 21–100, establish each identity. 1 cose 1 + cose (csc0 cot 0) 2 0)²
In Problems 49–60, use a calculator to solve each equation on the interval 0 ≤ θ < 2π. Round answers to two decimal places. 5 tan 09 0 +
In Problems 33–60, find the exact value of each expression. sin[ tan-¹(-3)]
In Problems 39 – 62, find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator. tan-¹[tan()]
In Problems 49–60, use a calculator to solve each equation on the interval 0 ≤ θ < 2π. Round answers to two decimal places. sec 0 -4
In Problems 21–100, establish each identity. 1 sin 0 1+ sine (sec - tan0)² 2
In Problems 49–60, use a calculator to solve each equation on the interval 0 ≤ θ < 2π. Round answers to two decimal places. csc = -3
In Problems 39 – 62, find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator. tan-¹[tan(-37)] 2
In Problems 21–100, establish each identity. sin 0 sin cos 1 1 cote
In Problems 33–60, find the exact value of each expression. csc[tan-¹(-2)]
In Problems 21–100, establish each identity. 1 sin ²0 1 + cose cos
In Problems 33–60, find the exact value of each expression. cotsin-1- √2 3
In Problems 39 – 62, find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator. n-1 sin(-3) 4 sin-
In Problems 33–60, find the exact value of each expression. sec(tan-11)
In Problems 33–60, find the exact value of each expression. cos | sin - 1 √2 3
In Problems 21–100, establish each identity. 1 - sinv COS V + COS V 1 sin v - 2 secv
In Problems 21–100, establish each identity. COS V 1 + sin v + 1+ sin v COS V 2 secv
In Problems 39 – 62, find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator. cos-1(cos)
In Problems 39 – 62, find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator. cos-¹ [cos(-1)] 4
In Problems 33–60, find the exact value of each expression. tan (cos-¹)
In Problems 21–100, establish each identity. cose + 1 cos 1 1 + seco 1 sece
In Problems 39 – 62, find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator. tan-¹tan(- 2π 3
In Problems 21–100, establish each identity. 1+ sin0 1 sin 0 csc0 + 1 csc 0 - 1
In Problems 49–60, use a calculator to solve each equation on the interval 0 ≤ θ < 2π. Round answers to two decimal places. tan0 = 5
In Problems 39 – 62, find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator. tan-¹[tan (-1)] 9
In Problems 33–60, find the exact value of each expression. tan(sin-11) 3
In Problems 33–60, find the exact value of each expression. cos-¹[tan(-)]
In Problems 37–48, solve each equation. Give a general formula for all the solutions. List six solutions. 0 tan- 2 - 1
In Problems 37–48, solve each equation. Give a general formula for all the solutions. List six solutions. 0 sin 2 √√3 2
In Problems 21–100, establish each identity. csc- cot 1 cote csc 0 + 1
In Problems 39 – 62, find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator. 7π COS-1 cos-¹(cos) 6
In Problems 39 – 62, find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator. 1-¹ (t tan tan 4π 5
In Problems 33–60, find the exact value of each expression. sin-¹ [cos(-77)] 6
In Problems 39 – 62, find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator. cos OS-1 [cos(-5T)] COS 3
In Problems 21–100, establish each identity. sec csc 0 + sin cos 2 tan 0
In Problems 33–60, find the exact value of each expression. tan-¹(cot -1 2π 3
In Problems 37–48, solve each equation. Give a general formula for all the solutions. List six solutions. sin (20) = -1
In Problems 21–100, establish each identity. csc v 1 cscv + 1 1 sin v 1+ sin v
In Problems 39 – 62, find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator. 11T 4 sin-¹ (sin!
In Problems 33–60, find the exact value of each expression. csc cos-1(-1/³)] 2
In Problems 33–60, find the exact value of each expression. cos-1 sin 5π 4
In Problems 37–48, solve each equation. Give a general formula for all the solutions. List six solutions. 2-√3 csc0 = 0
In Problems 37–48, solve each equation. Give a general formula for all the solutions. List six solutions. cos (20)
In Problems 21–100, establish each identity. 1 + tan v 1 tan v cotv + 1 cot v - 1
In Problems 21–100, establish each identity. 1 sin ²0 1 - cose = - cos
In Problems 39 – 62, find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator. $11 in-¹(sin (sin 2) 8
In Problems 33–60, find the exact value of each expression. sec[sin-¹(-1)] 2.
In Problems 37–48, solve each equation. Give a general formula for all the solutions. List six solutions. √3-cot 0 = 0
In Problems 39 – 62, find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator. 3π sin-¹ [sin(-37)
In Problems 37–48, solve each equation. Give a general formula for all the solutions. List six solutions. sin 0 /2 2
In Problems 21–100, establish each identity. 1- cos²0 1+ sin 0 = sin0
In Problems 21–100, establish each identity. 9 sec 2 0 5 tan² 0 = 5 + 4 sec ²0
In Problems 33–60, find the exact value of each expression. √3 cos[sin-¹-3 2
In Problems 33–60, find the exact value of each expression. sin[ tan-¹(-1)]
In Problems 21–100, establish each identity. 3 sin 20 + 4 cos2 0 = 3 + cos²0
In Problems 39 – 62, find the exact value, if any, of each composite function. If there is no value, say it is “not defined.” Do not use a calculator. ¹[tan(-3)] tan-¹[tan(
In Problems 35–46, convert each angle in radians to degrees. 13п T 6
In Problems 109–110, the latitude of a location L is the angle formed by a ray drawn from the center of Earth to the equator and a ray drawn from the center of Earth to L. See the figure.Earth rotates on an axis through its poles. The distance from the axis to a location on Earth at 30° north
In Problems 109–110, the latitude of a location L is the angle formed by a ray drawn from the center of Earth to the equator and a ray drawn from the center of Earth to L. See the figure.Earth rotates on an axis through its poles. The distance from the axis to a location on Earth at 40° north
See the figure. The measure of arc BE is 2π. Find the exact area of the portion of the rectangle ABCD that falls outside of the circle whose center is at A. B A E ED=7 D
A bicycle has a pedal drive wheel with radius 5.2 inches and a rear cog wheel with radius 1.8 inches. See the figure. How many revolutions will the pedals need to make to move the bicycle 50 feet if the wheels have a diameter of 30 inches? Round to the nearest tenth. -1.8 in. -5.2 in.
Problems 133 – 142. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.Find the horizontal and vertical asymptotes of R(x) = 3x² 12 x25x14
Problems 133 – 142. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus. Find the domain of h(x) = X 3x 2-9
A Blu-ray drive has a maximum speed of 10,000 revolutions per minute. If a Blu-ray disc has a diameter of 12 cm, what is the linear speed, in km/h, of a point 4 cm from the center if the disc is spinning at a rate of 8000 revolutions per minute?
If the viewing angle for a 600mm lens is 4°6, use arc length to approximate the field width of the lens at a distance of 860 feet.
If the viewing angle for an 800mm lens is 1°42, use arc length to approximate the field width of the lens at a distance of 920 feet.
Problems 133 – 142. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus. Solve: 2√x 3 + 5 = 8 -
Problems 133 – 142. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.Consider the function(a) Use a graphing utility to graph f. Determine the turning points on the
In Problems 11–22, draw each angle in standard position. Зп 4 T
A dog is attached to a 9-foot rope fastened to the outside corner of a fenced-in garden that measures 6 feet by 10 feet. Assuming that the dog cannot enter the garden, compute the exact area that the dog can wander. Write the exact area in square feet.
In Problems 11–22, draw each angle in standard position. 4개 3
In Problems 11–22, draw each angle in standard position. 2π 3
Problems 133 – 142. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.Find the zero of f (x) = 3x + 7.
In Problems 11–22, draw each angle in standard position. 16п 3
Problems 133 – 142. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for later sections, a final exam, or subsequent courses such as calculus.Solve: 5x2 + 2 = 5 − 14x
In Problems 11–22, draw each angle in standard position. ㅠ 6
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