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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 9–20, use the information given about the angle θ, 0 ≤ θ < 2π, to find the exact value of: (a) sin(20) (b) cos(20) (c) sin (d) cos 2 (e) tan(20) (f) tan-
In Problems 15–20 establish each identity. sin (30) 3 sin - 4 sin ³0
In Problems 15–29, 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-¹[sin(-87)]
In Problems 17–24, express each sum or difference as a product of sines and/or cosines. cos(20) cos(40)
In Problems 15–20 establish each identity. tan - cot tan0 + cot = 1- 2 cos²0
In Problems 13–36, solve each equation on the interval 0 ≤ θ < 2π. 4 sec 0 + 6 = -2
In Problems 15–29, 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-¹0.9)
In Problems 9–20, use the information given about the angle θ, 0 ≤ θ < 2π, to find the exact value of: (a) sin(20) (b) cos(20) (c) sin (d) cos 2 (e) tan(20) (f) tan-
In Problems 21–28 use sum, difference, product, or half-angle formulas to find the exact value of each expression.tan75°
In Problems 17–24, express each sum or difference as a product of sines and/or cosines. cos (50) cos(30)
In Problems 17–24, express each sum or difference as a product of sines and/or cosines. sin+sin (30)
In Problems 9–20, use the information given about the angle θ, 0 ≤ θ < 2π, to find the exact value of: (a) sin(20) (b) cos(20) NIO (c) sin- sin 2 (d) COS 0 2 (e) tan(20) (f) tan-
In Problems 15–29, 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(cos-¹0.6)
In Problems 15–29, 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-¹5]
In Problems 17–24, express each sum or difference as a product of sines and/or cosines. cose+cos (30)
In Problems 15–29, 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[cos-¹(-1.6)]
In Problems 21–30, use Half-angle Formulas to find the exact value of each expression. 7π 8 tan-
In Problems 21–30, use Half-angle Formulas to find the exact value of each expression. 9π tan- 8
In Problems 21–28 use sum, difference, product, or half-angle formulas to find the exact value of each expression. 335 sin(cos-1
In Problems 21–30, use Half-angle Formulas to find the exact value of each expression.sin 22.5°
In Problems 17–24, express each sum or difference as a product of sines and/or cosines. 0 cos 2 30 cos- 2
In Problems 15–29, 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-¹(cos2 2π 3
In Problems 17–24, express each sum or difference as a product of sines and/or cosines. 0 sin- 2 30 sin- 2
In Problems 21–30, use Half-angle Formulas to find the exact value of each expression.cos 22.5°
In Problems 21–30, use Half-angle Formulas to find the exact value of each expression.cos165°
In Problems 15–29, 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. 3) sec tan-1. 3
In Problems 25–42, establish each identity. sin (40) + sin(20) cos(40)+cos (20) = tan (30)
In Problems 25–42, establish each identity. cos- cos (30) sin (30) sin tan (20)
In Problems 21–30, use Half-angle Formulas to find the exact value of each expression. 7π 8 csc-
In Problems 15–29, 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. 314 sin cot-1;
In Problems 15–29, 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[sin-¹(-1)]
In Problems 25–42, establish each identity. cose - cos (30) = tane sin+sin (30)
In Problems 21–30, use Half-angle Formulas to find the exact value of each expression. sin(-)
In Problems 31–42, f (x) = sin x, g(x) = cos x, and h (x) = tan x. Use the figures below to evaluate each function. (a, 2) y x2 + y2 = 5 X (-1, b) x2 + y² = 1 α X
In Problems 21–30, use Half-angle Formulas to find the exact value of each expression. cos 32 8
In Problems 31–42, f (x) = sin x, g(x) = cos x, and h (x) = tan x. Use the figures below to evaluate each function. (a, 2) y x2 + y2 = 5 X (-1, b) x2 + y² = 1 α X
In Problems 29–33, solve each equation on 0 ≤ θ < 2π. 4 sin² 03 0 =
In Problems 21–28 use sum, difference, product, or half-angle formulas to find the exact value of each expression.cos65°cos20° + sin65°sin20°
In Problems 30 and 31, find the inverse function f−1 of each function f. Find the range of f and the domain and range of f−1. f(x) = 2 sin (3x) 56 - VI sis VI
In Problems 29–33, solve each equation on 0 ≤ θ < 2π. -3 cos(-) = 0) tane
In Problems 25–42, establish each identity. cos(50) cos sin + sin(50) 0 tan (20)
In Problems 30 and 31, find the inverse function f−1 of each function f. Find the range of f and the domain and range of f−1. f(x) = —cosx+30SXST
In Problems 31–42, f (x) = sin x, g(x) = cos x, and h (x) = tan x. Use the figures below to evaluate each function. (a, 2) y x2 + y2 = 5 X (-1, b) x2 + y² = 1 α X
In Problems 29–33, solve each equation on 0 ≤ θ < 2π. cos² + 2 sin cos0 sin² 0 = 0 -
In Problems 25–42, establish each identity. sin [sin+sin (30)] = cos [cos - cos(30)]
In Problems 31–42, f (x) = sin x, g(x) = cos x, and h (x) = tan x. Use the figures below to evaluate each function. (a, 2) y x2 + y2 = 5 X (-1, b) x2 + y² = 1 α X
In Problems 25–42, establish each identity. sin 0 [sin (30) + sin(50)] = cos 0 [cos (30) cos (50)]
In Problems 31–42, f (x) = sin x, g(x) = cos x, and h (x) = tan x. Use the figures below to evaluate each function. (a, 2) y x2 + y2 = 5 X (-1, b) x2 + y² = 1 α X
In Problems 25–42, establish each identity. sin (40) + sin(80) cos(40)+cos (80) tan (60)
In Problems 29–33, solve each equation on 0 ≤ θ < 2π. sin (0+1)= cose
In Problems 31–42, f (x) = sin x, g(x) = cos x, and h (x) = tan x. Use the figures below to evaluate each function. (a, 2) y x2 + y2 = 5 X (-1, b) x2 + y² = 1 α X
In Problems 34–50, establish each identity. tan cotsin² 0 = cos²0
In Problems 34–50, establish each identity. cos cos sin 0 1 1 tan 0
In Problems 29–33, solve each equation on 0 ≤ θ < 2π. 4 sin ²0 + 7 sin0 = 2
In Problems 25–42, establish each identity. sin (40) + sin(80) sin (40) sin(80) tan (60) tan (20)
In Problems 25–42, establish each identity. sin a + sin 3 sin 3 sina - = tan +3 2 cot a - B 2
In Problems 32 and 33, write each trigonometric expression as an algebraic expression in u.cos(sin−1 u)
In Problems 34–50, establish each identity. csc 0 1 + csc0 1 sin cos²0
In Problems 32 and 33, write each trigonometric expression as an algebraic expression in u.tan(csc−1 u)
In Problems 31–42, f (x) = sin x, g(x) = cos x, and h (x) = tan x. Use the figures below to evaluate each function. (a, 2) y x2 + y2 = 5 X (-1, b) x2 + y² = 1 α X
In Problems 34–50, establish each identity. 5 cos² 0+3 sin² 0 = 3+ 2 cos²0
In Problems 25–42, establish each identity. sin (40) cos(40) sin(80) cos(80) -cot (60)
In Problems 31–42, f (x) = sin x, g(x) = cos x, and h (x) = tan x. Use the figures below to evaluate each function. (a, 2) y x2 + y2 = 5 X (-1, b) x2 + y² = 1 α X
In Problems 34–50, establish each identity. sin² 0(1+ cot20) = 1
In Problems 31–42, f (x) = sin x, g(x) = cos x, and h (x) = tan x. Use the figures below to evaluate each function. (a, 2) y x2 + y2 = 5 X (-1, b) x2 + y² = 1 α X
In Problems 34–50, establish each identity. 1 cos 0 sin + sin 0 1 - cose 2 csc 0
In Problems 25–42, establish each identity. cos (40) cos(80) cos(40)+cos (80) tan (20) tan (60)
In Problems 31–42, f (x) = sin x, g(x) = cos x, and h (x) = tan x. Use the figures below to evaluate each function. (a, 2) y x2 + y2 = 5 X (-1, b) x2 + y² = 1 α X
In Problems 25–42, establish each identity. cosa + cosß Cosa - cosß ota + cot ß₁ a - B 2 2 -cot
In Problems 25–42, establish each identity. sin a + sin ß cosa + cos 3 B a + ß 2 = tan-
In Problems 34–50, establish each identity. csc sin = cos cot
In Problems 31–42, f (x) = sin x, g(x) = cos x, and h (x) = tan x. Use the figures below to evaluate each function. (a, 2) y x2 + y2 = 5 X (-1, b) x2 + y² = 1 α X
In Problems 25–42, establish each identity. sin a cosa sin 3 cos 3 a + ß 2 =-cot-
In Problems 31–42, f (x) = sin x, g(x) = cos x, and h (x) = tan x. Use the figures below to evaluate each function. (a, 2) y x2 + y2 = 5 X (-1, b) x2 + y² = 1 α X
In Problems 25–42, establish each identity. 1 + cos(20) + cos(40) + cos(60) = 4 cos@cos(20) cos(30)
In Problems 34–50, establish each identity. 1 - 2 sin ²0 sin 0 cos cot - tan
In Problems 25–42, establish each identity. 1 cos(20) + cos(40) cos(60) = 4 sin cos(20)sin (30) - -
In Problems 34–50, establish each identity. 1 sin 0 sec 0 cos³0 1 + sin 0
In Problems 34–50, establish each identity. cos(a + 3) cosa sin ß cot 3 tan a
In Problems 34–50, establish each identity. cos(a + 3) cosa sin ß cot 3 tan a
In Problems 34–50, establish each identity. cos(a - ß) B) cosa cos 3 || 1+ tanatan 3
Show that sin ²0 cos 40 = + cos (20) - 16 32 -cos (40) - 16 -cos(60). 32
In Problems 43–48, use the figures to evaluate each function if f (x) = sin x, g(x) = cos x, and h(x) = tan x. x² + y² = 4 y a (x, 1) X x² + y² = 1 В (3₁) X
In Problems 34–50, establish each identity. 0 (1 + cos0) tan- tan== 2 sin 0
Show that cos60 5 16 + 15 -cos (20) + 32 3 -cos (40) + 16 -cos(60). 32
Show that sin 60 = 16 1 15 -cos (20) + 32 3 16 -cos(40). 1 32 -cos(60).
Show that sin4θ = 3/8 − 1/2cos(2θ) + 1/8 cos 4(θ) .
In Problems 34–50, establish each identity. 2 cot@cot(20) = cot² 0 - 1
Show that s in(4θ) = (cosθ)(4 sinθ− 8 sin3θ).
In Problems 34–50, establish each identity. 18 sin20cos² 0 = cos(40)
Show that sin2θ cos2θ= 1/8 − 1/8 cos(4θ) .
In Problems 43–48, use the figures to evaluate each function if f (x) = sin x, g(x) = cos x, and h(x) = tan x. x² + y² = 4 y a (x, 1) X x² + y² = 1 В (3₁) X
Show that sin4θ cos4θ = 3/128 − 1/32 cos(4θ) + 128 cos(8θ).
Find an expression for cos(3θ) as a third-degree polynomial in the variable cosθ.
In Problems 47–50, solve each equation on the interval 0 ≤ θ < 2π. sin (20) + sin(40) = 0
In Problems 49–74, establish each identity. COS cos(1/2 + 0). = - sin
In Problems 34–50, establish each identity. sin (30) cos sin cos (30) sin (20) 1
Find an expression for cos(4θ) as a fourth-degree polynomial in the variable cosθ.
In Problems 47–50, solve each equation on the interval 0 ≤ θ < 2π. cos (20)+cos (40) = 0
In Problems 49–74, establish each identity. ( 1/1 + 0) sin = cos
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