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study help
mathematics
precalculus

Questions and Answers of Precalculus

Solve each equation on the interval 0 ≤ θ ≤2π.sinθ - cosθ = 1
Solve each equation on the interval 0 ≤ θ ≤2π.1 + √3cosθ + cos(2θ) = 0
Solve each equation on the interval 0 ≤ θ ≤2π.sin(2θ) = √2cosθ
Solve each equation on the interval 0 ≤ θ ≤2π.8 - 12sin2θ = 4cos2θ
Solve each equation on the interval 0 ≤ θ ≤ 2π.4sin2θ = 1 + 4cosθ
Solve each equation on the interval 0 ≤ θ ≤ 2π.2cos2θ + cosθ - 1 = 0
Solve each equation on the interval 0 ≤ θ ≤2π.2sin2θ - 3sinθ + 1 = 0
Solve each equation on the interval 0 ≤ θ ≤2π.sin(2θ) - sinθ - 2cosθ + 1 = 0
Solve each equation on the interval 0 ≤ θ ≤2π.sin(2θ) - cosθ - 2sinθ + 1 = 0
Solve each equation on the interval 0 ≤ θ ≤2π.cos(2θ) = sinθ
Solve each equation on the interval 0 ≤ θ ≤ 2π.sinθ + sin(2θ) = 0
Solve each equation on the interval 0 ≤ θ ≤ 2π.0.9cos(2θ) = 0.7
Solve each equation on the interval 0 ≤ θ ≤ 2π.0.2sinθ = 0.05
Solve each equation on the interval 0 ≤ θ ≤ 2π.csc2θ = 1
Solve each equation on the interval 0 ≤ θ ≤ 2π.sec2θ = 4
Solve each equation on the interval 0 ≤ θ ≤ 2π.sin(3θ) = 1
Solve each equation on the interval 0 ≤ θ ≤ 2π.tan(2θ) = 0
Solve each equation on the interval 0 ≤ θ ≤ 2π.cos(2θ) = 0
Solve each equation on the interval 0 ≤ θ ≤ 2π.sin(2θ) + 1 = 0
Solve each equation on the interval 0 ≤ θ ≤ 2π.tanθ + √3 = 0
Solve each equation on the interval 0 ≤ θ ≤ 2π.2cosθ + √2 = 0
Solve each equation on the interval 0 ≤ θ ≤ 2π.sinθ = -√3/2
Solve each equation on the interval 0 ≤ θ ≤ 2π.cosθ = 1/2
Find the exact value of each expression.cos(2tan-1 4/3)
Find the exact value of each expression.sin(2cos-1 (-3/5)
Find the exact value of each expression.cos(2tan-1(-1) + cos-1(-4/5))
Find the exact value of each expression.tan(sin-1(-1/2) - tan-13/4)
Find the exact value of each expression.sin(cos-1(5/13) - cos-14/5)
Find the exact value of each expression.cos(sin-1(3/5) - cos-11/2)
Use the information given about the angles and to find the exact value of: (a) sin(α + β)(b) cos(α + β)(c) sin(α - β)(d) tan (α + β)(e) sin(2α)(f) cos (2β)(g) sin β/2(h) cosα/2tanα
Use the information given about the angles and to find the exact value of: (a) sin(α + β)(b) cos(α + β)(c) sin(α - β)(d) tan (α + β)(e) sin(2α)(f) cos (2β)(g) sin β/2(h) cosα/2sinα
Use the information given about the angles and to find the exact value of: (a) sin(α + β)(b) cos(α + β)(c) sin(α - β)(d) tan (α + β)(e) sin(2α)(f) cos (2β)(g) sin β/2(h) cosα/2cscα
Use the information given about the angles and to find the exact value of: (a) sin(α + β)(b) cos(α + β)(c) sin(α - β)(d) tan (α + β)(e) sin(2α)(f) cos (2β)(g) sin β/2(h) cosα/2secα
Use the information given about the angles and to find the exact value of: (a) sin(α + β)(b) cos(α + β)(c) sin(α - β)(d) tan (α + β)(e) sin(2α)(f) cos (2β)(g) sin β/2(h) cosα/2tanα
Use the information given about the angles and to find the exact value of: (a) sin(α + β)(b) cos(α + β)(c) sin(α - β)(d) tan (α + β)(e) sin(2α)(f) cos (2β)(g) sin β/2(h) cosα/2sinα
Use the information given about the angles and to find the exact value of: (a) sin(α + β)(b) cos(α + β)(c) sin(α - β)(d) tan (α + β)(e) sin(2α)(f) cos (2β)(g) sin β/2(h) cosα/2sinα
Use the information given about the angles and to find the exact value of: (a) sin(α + β)(b) cos(α + β)(c) sin(α - β)(d) tan (α + β)(e) sin(2α)(f) cos (2β)(g) sin β/2(h) cosα/2cosα
Use the information given about the angles and to find the exact value of: (a) sin(α + β)(b) cos(α + β)(c) sin(α - β)(d) tan (α + β)(e) sin(2α)(f) cos (2β)(g) sin β/2(h) cosα/2cosα
Find the exact value of each expression.sin5π / 8
Find the exact value of each expression.tanπ/8
Find the exact value of each expression.sin 70° cos 40° - cos 70° sin 40°
Find the exact value of each expression.cos 80° cos 20° + sin 80° sin 20°
Find the exact value of each expression.sin(-π/12)
Find the exact value of each expression.cos5π/12
Find the exact value of each expression.tan 105°.
Find the exact value of each expression.sin 165°.
Establish each identity.cos(2θ) - cos(10θ) =tan(4θ)[sin(2θ) + sin(10θ)
Establish each identity. cos(20) – cos(40) tan 0 tan(30) = 0 cos(20) + cos(40) %3D
Establish each identity. n(20) + sin(40) sin(20) – sin(40) tan(30) sın tan 0
Establish each identity. sin(20) + sin(40) cos(20) + cos(40) tan(30)
Establish each identity. sin(30) cos cos 0 – sin 0 cos(30) sin(20)
Establish each identity.1 - 8 sin2θcos2θ = cos(4θ)
Establish each identity.2sin(2θ) (1 - 2sin2θ) = sin(4θ)
Establish each identity.2cotθcost(2θ) = cot2θ - 1
Establish each identity.sinθtanθ/2 = 1 - cosθ
Establish each identity.(1 + cosθ) tanθ/2 = sinθ
Establish each identity. cos(a + B) sin a cos B cot a – tan B
Establish each identity. cos(a – B) = 1 + tan a tan B cos a cos B
Establish each identity. sin(@ – B) = 1 - cot a tan ß sin a cos B
Establish each identity. cos(a + B) cos a sin B cot B – tan a
Establish the identity. (2 sin? 0 – 1)² sin* 0 – cos“ 0 1- 2 cos 0
Establish the identity. 1 - 2 sin? 0 sin 0 cos 0 cot 0 – tan 0
Establish the identity. cos 0 (csc 0 – cot 0)² 1 + cos 0
Establish the identity. .3 cos' 0 1- sin 0 sin 0 1 + sin 0 sec 0
Establish the identity. 1 + cos 0 sin3 csc 0 1 - cos 0
Establish each identity.cscθ - sinθ = cosθcotθ
Establish the identity. 1 + sec 0 sin? 0 sec 0 cos 0
Establish the identity. 1 – sin 0 csc 0 1 + csc 0 cos 0 COS
Establish the identity. sin? 0 1 + cos 0 = cos 0
Establish the identity. cos 0 1 – tan 0 cos 0 – sin 0
Establish the identity. sin 0 1 + cos 0 2 csc 0 1 + cos 0 sin 0
Establish the identity. 1 - sin 0 1- cos 0 cos 0 = 2 csc 0 sin 0
Establish the identity.4 sin2θ + 2 cos2θ = 4 - 2cos2θ
Establish the identity.5cos2θ + 3sin2θ = 3 + 2cos2θ
Establish the identity.(1 - sin2θ ) (1 + tan2θ) = 1
Establish the identity.sin2θ (1 + cot2θ) = 1
Establish the identity.sinθcscθ - sin2θ = cos2θ
Establish the identity.tanθcotθ - sin2θ = cos2θ
Write the trigonometric expression as an algebraic expression in u.tan(csc-1u)
Write the trigonometric expression as an algebraic expression in u.sin(csc-1u)
Write each trigonometric expression as an algebraic expression in u.cos(css-1u)
Write each trigonometric expression as an algebraic expression in u.cos(sin-1u)
Find the inverse function of each function f. Find the range of f and the domain and range of f-1.f(x) = 2sin(-x + 1)1 - π/2 ≤ x ≤ 1 + π/2
Find the inverse function of each function f. Find the range of f and the domain and range of f-1.f(x) = -cosx + 30 ≤ x ≤ π
Find the inverse function of each function f. Find the range of f and the domain and range of f-1.f(x) = tan(2x + 3) - 1-3/2 - π/4 < x < -3/2 + π/4
Find the inverse function of each function f. Find the range of f and the domain and range of f-1.f(x) = 2sin(3x)-π/6 ≤ x ≤ π/6
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(cos-1(-3/5))
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(-4/5))
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(csc-1(5/3))
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(cot-13/4)
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.csc(sin-1√3/2)
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.sec(tan-1√3/3)
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(cos-1(-1/2))
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(-√3/2))
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(cos7π/6)
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(tan7π/4)
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(tan3π/4)
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(cos2π/3)
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-11.6]
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)]

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