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study help
mathematics
precalculus
Precalculus Concepts Through Functions A Unit Circle Approach To Trigonometry 5th Edition Michael Sullivan - Solutions
In Problems 35–40, find the exact value of each of the following under the given conditions: (a) sin(a + 3) (b) cos(a + B) (c) sin(a - B) (d) tan(a - 3)
In Problems 27 – 38, use a calculator to find the approximate value of each expression rounded to two decimal places. √2 cos-1, 3 COS
In Problems 33–60, find the exact value of each expression. tan[sin-¹ (-1)] 2
In Problems 21–100, establish each identity. sec40 sec² 0 = tan ¹0+ tan²0
In Problems 21–100, establish each identity. csc 40 csc² 0 = cot¹0+ cot²0
In Problems 33–60, find the exact value of each expression. cot[sin-1-1)]
In Problems 27 – 38, use a calculator to find the approximate value of each expression rounded to two decimal places. sin-1 √3 5
In Problems 13–36, solve each equation on the interval 0 ≤ θ < 2π. cos(1-4) = 를 3
In Problems 35–40, find the exact value of each of the following under the given conditions: (a) sin(a + 3) (b) cos(a + B) (c) sin(a - B) (d) tan(a - 3)
In Problems 33–60, find the exact value of each expression. sec(cos-11)
In Problems 35–40, find the exact value of each of the following under the given conditions: (a) sin(a + 3) (b) cos(a + B) (c) sin(a - B) (d) tan(a - 3)
In Problems 21–100, establish each identity. secu - tanu cosu 1 + sinu
In Problems 33–60, find the exact value of each expression. csc (tan-¹1)
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 [sin(-)] 10/ sin-
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 4) 5
In Problems 21–100, establish each identity. cscu - cotu sin u 1 + cosu
If cos θ = 1/4, θ in quadrant IV, find the exact value of: (a) sin (b) sin(8 – (c) (d) tan(e- cos(+ π 6/ 3 ₂ (0 - 17/7)
In Problems 49–74, establish each identity. cot (a + 3) = 73 cotacot 3 - 1 ß cotßcot a
In Problems 33–60, find the exact value of each expression. sec (tan-1√3)
If sin θ = 1/3, θ in quadrant II, find the exact value of: (a) cose (b) sin(0 + 7) 6 cos (0 - ) 3 (c) cos (d) tan (0+1) 4
In Problems 49–74, establish each identity. B) = sec (a - ß) secasecß 1+ tanatan,
In Problems 49–74, establish each identity. cos(a 3) cos(a + 3) = cos²a - sin² ß
In Problems 49–74, establish each identity. cot (a - 3) = cot a cot 3+1 cot 3 - cota
In Problems 49–74, establish each identity. sin (0+ kπ) = (-1)* sine, k any integer
In Problems 49–74, establish each identity. sec (a + B) csc a csc 3 cotacot 3 - 1
In Problems 49–74, establish each identity. cos(+ kπ) = (-1)* cose, k any integer
In Problems 49–74, establish each identity. sin (a 3) sin(a + 3) = sin² a sin² 3
In Problems 75–86, find the exact value of each expression. sin (sin-1 + cos-10)
In Problems 75–86, find the exact value of each expression. sin sin-13 2 + cos-11
In Problems 75–86, find the exact value of each expression. cos(sin-¹-53 -1³) tan-1,
In Problems 75–86, find the exact value of each expression. sin[sin-¹3 — cos-¹(-)]
In Problems 75–86, find the exact value of each expression. cos( tan 4 3 لي 5) 13 + cos-1.
In Problems 75–86, find the exact value of each expression. sin sin-1(-)-tan- 1¹31
In Problems 75–86, find the exact value of each expression. tan (sin-13- +)
In Problems 75–86, find the exact value of each expression. cos tan 5 12 in-¹(-3)] -sin-1
In Problems 75–86, find the exact value of each expression. an(sin-1 + cos-¹1) 5
In Problems 75–86, find the exact value of each expression. cos tan- 1-14/3 + 12) +cos-1; 13/
In Problems 75–86, find the exact value of each expression. tan(cos-¹+sin-¹1)
In Problems 75–86, find the exact value of each expression. 미푸 4 tan 3/5 cos- COS-1
In Problems 87–92, write each trigonometric expression as an algebraic expression containing u and v. Give the restrictions required on u and v. sin (sin-¹u cos-¹v)
In Problems 87–92, write each trigonometric expression as an algebraic expression containing u and v. Give the restrictions required on u and v. cos(cos-¹u+sin-¹ v)
In Problems 21–100, establish each identity. (csc 1)(csc0 + 1) = cot ²0
In Problems 13–36, solve each equation on the interval 0 ≤ θ < 2π. tan (20) = -1
Problems 127 – 136. 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. Is the function f(x) = 3x 5-x² even, odd, or neither?
Problems 127 – 136. 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. If sin 0 = - √10 10 and cos = 3√10 10 find the exact value of each of the four remaining
The following discussion of Snell’s Law of Refraction (named after Willebrord Snell, 1580–1626) is needed for Problems 115–122. Light, sound, and other waves travel at different speeds, depending on the medium (air, water, wood, and so on) through which they pass. Suppose that light travels
Problems 127 – 136. 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. If f(x) = ex-1 +3, find the domain of f-1 (x).
The following discussion of Snell’s Law of Refraction (named after Willebrord Snell, 1580–1626) is needed for Problems 115–122.Light, sound, and other waves travel at different speeds, depending on the medium (air, water, wood, and so on) through which they pass. Suppose that light travels
Problems 115–124. 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 (f º g)(x). If f(x)=√x - 4 and g(x) x + 3 x-6
The following discussion of Snell’s Law of Refraction (named after Willebrord Snell, 1580–1626) is needed for Problems 115–122.Light, sound, and other waves travel at different speeds, depending on the medium (air, water, wood, and so on) through which they pass. Suppose that light travels
The following discussion of Snell’s Law of Refraction (named after Willebrord Snell, 1580–1626) is needed for Problems 115–122.Light, sound, and other waves travel at different speeds, depending on the medium (air, water, wood, and so on) through which they pass. Suppose that light travels
The following discussion of Snell’s Law of Refraction (named after Willebrord Snell, 1580–1626) is needed for Problems 115–122.Light, sound, and other waves travel at different speeds, depending on the medium (air, water, wood, and so on) through which they pass. Suppose that light travels
Problems 127 – 136. 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 average rate of change of f (x) = cos−1 x from 1/2 to 1.
Problems 127 – 136. 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.If f (x) = 8/x2, find an equation of the secant line containing the points (1, f (1)) and (4, f
Give the general formula for the solutions of the equation. 3 sine + √3 cose = 0
Problems 127 – 136. 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 value of a so that the line a x − 3y = 10 has slope 2.
Problems 127 – 136. 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 length of the arc of a circle of radius 15 centimeters subtended by a central angle of
Problems 127 – 136. 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 amplitude, period, and phase shift of the function y = 2 sin(2x −π). Graph the
Problems 127 – 136. 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 real zeros of f (x) = 2x2 − 9x + 8.
Problems 127 – 136. 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.Convert 6x = y to an equivalent statement involving a logarithm.
If x2 + (tanθ+ cotθ) x + 1 = 0 has two real solutions, {2 − √3, 2 + √3}, find sinθ cosθ.
Problems 115–124. 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.Write the equation of the circle in standard form: x2 + y2 − 12x + 4y + 31 = 0
Problems 115–124. 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. If f(x) = x +1 and g(x) x-2 == 3x4, find fog.
Prove: cot ¹x tan- n-¹ (-1/2)
Problems 115–124. 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.If an angle θ lies in quadrant III and cot θ = 8/5, find sec θ.
Several research papers use a sinusoidal graph to model blood pressure. Assuming that a person’s heart beats 70 times per minute, the blood pressure P of an individual after t seconds can be modeled by the function(a) In the interval [0, 1], determine the times at which the blood pressure is 100
A light beam passes through a thick slab of material whose index of refraction is n2. Show that the emerging beam is parallel to the incident beam.
Problems 115–124. 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.Ben paddled his kayak 8 miles upstream against a 1 mile per hour current and back again in 6 hours.
Show that Зп √9 sec²0 - 9 = 3 tan 0 if n
Problems 115–124. 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 area of the sector of a circle of radius 8 meters formed by an angle of 54°.
In Problems 21–100, establish each identity. In sec 0 + tane] + Insectan | = 0
Problems 115–124. 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 length of a line segment with endpoints (−3,−4) and (5, 8) .
In Problems 21–100, establish each identity. In |1 + cos0| + In|1 cos0] = 2 In|sin |
Show that √16 + 6 tan²0= 4 sec 0 if 4 sece if - EIN < 0 - // < 0 < 1/1/20
Problems 115–124. 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 average rate of change of f (x) = cos x from 0 to π/2.
In Problems 101–104, show that the functions f and g are identically equal. f(x) = sinx tan x g(x) = secx - cos x
Problems 115–124. 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 exact values of the six trigonometric functions of an angle θ in standard position if
In Problems 21–100, establish each identity. Intan | = In|sin - In cos
Problems 115–124. 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.Determine whether f (x) = −3x2 + 120x + 50 has a maximum or a minimum value, and then find the
Problems 93–102. 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 exact value of sin sin cos
Make up an identity that is not a basic identity.
Prove: sin−1 (−x) = −sin−1 x
Problems 90–99. 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. Rationalize the numerator: √1x² √√√1 - c² - X-C
In Problems 21–100, establish each identity. In [sec] = -Incos |
Problems 93–102. 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.If cosθ = 24/25, find the exact value of each of the remaining five trigonometric functions of acute
Problems 90–99. 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 average rate of change of f (x) = sin x from π/2 to 4π/3.
Problems 93–102. 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.The diameter of each wheel of a bicycle is 20 inches. If the wheels are turning at 336 revolutions per
What are the zeros of f (x) = 2 cos(3x) + 1 on the interval [0, π]?
Problems 93–102. 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: e4x + 7 = 10
In Problems 21–100, establish each identity. (sin a cos 3)² + (cosß + sina) (cosß sina) = -2 cos (sina cos/3)
Problems 90–99. 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 equation of a sine function with amplitude 4, period π/3, and phase shift 1.
Problems 93–102. 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. 1 3 Factor: (2x + 1)(x² + 3)(x² + 3) x(2x + 1)²
What are the zeros of f (x) = 4 sin2 x− 3 on the interval [0, 2π]?
Problems 90–99. 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. = √√x - 3 and g(x) If f(x) = of (1)(x). = x - 7 x- 4 find the domain
In Problems 21–100, establish each identity. (sina + cos 3)² + (cosß + sina) (cos 3 - sina) = 2 cos3(sina + cos 3)
Problems 93–102. 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.State why the graph of the function f shown is one-to-one. Then draw the graph of the inverse function
In Problems 21–100, establish each identity. (tana + tan 3) (1 cotacot 3) + (cota + cot 3) (1 tanatan 3) = 0
In Problems 21–100, establish each identity. tana + tan 3 cota + cot = tan atan 3
In Problems 85–96, use a graphing utility to solve each equation. Express the solution(s) rounded to two decimal places.4 cos(3x) − ex = 1, x > 0
In Problems 21–100, establish each identity. (2a sin cos0)² + a² (cos²0 sin²0)² = a²
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