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study help
mathematics
precalculus

Questions and Answers of Precalculus

Use the right triangle shown below. Then, using the given information, solve the triangle.b = 4, c = 6 find a, A, and B a
Use the right triangle shown below. Then, using the given information, solve the triangle.a = 2, c = 5; find b, A, and B a
Use the right triangle shown below. Then, using the given information, solve the triangle.a = 2, b = 8; find c, A, and B a a
Use the right triangle shown below. Then, using the given information, solve the triangle.a = 5, b = 3; find c, A, and B a
Use the right triangle shown below. Then, using the given information, solve the triangle.c = 10, A = 40°; find b, a, and B a
Use the right triangle shown below. Then, using the given information, solve the triangle.c = 9, b = 20° ; find b, a, and A a
Use the right triangle shown below. Then, using the given information, solve the triangle.a = 6, A = 20°; find b, c, and B. a
Use the right triangle shown below. Then, using the given information, solve the triangle.a = 5, A = 25°; find b,c, and B. a
Use the right triangle shown below. Then, using the given information, solve the triangle.b = 6, A = 20°; find a,c, and B. a
Use the right triangle shown below. Then, using the given information, solve the triangle.b = 4, A = 10°; find a,c, and B. a
Use the right triangle shown below. Then, using the given information, solve the triangle.a = 7, B = 50° find b, c, and A a
Use the right triangle shown below. Then, using the given information, solve the triangle.a = 6, B = 40° find b, c, and A a
Use the right triangle shown below. Then, using the given information, solve the triangle.b = 4, B = 10° find a, c, and A a
Use the right triangle shown below. Then, using the given information, solve the triangle.b = 5, B = 20° find a, c, and A a
Find the exact value of each expression. Do not use a calculator.sec35°csc 55° - tan35°cot 55°
Find the exact value of each expression. Do not use a calculator.cos35°sin55° + sin35°cos55°
Find the exact value of each expression. Do not use a calculator.cot40° - sin50°/sin40°
Find the exact value of each expression. Do not use a calculator.tan20° - cos70°/cos20°
Find the exact value of each expression. Do not use a calculator.1 + tan25° - csc285°
Find the exact value of each expression. Do not use a calculator.1 - cos220° - cos270°
Find the exact value of each expression. Do not use a calculator.cos40°/sin50°
Find the exact value of each expression. Do not use a calculator.cos10°/sin80°
Find the exact value of each expression. Do not use a calculator.tan12° - cot78°
Find the exact value of each expression. Do not use a calculator.sin38° - cos52°
Find the exact value of the six trigonometric functions of the angle in each figure. V5 2
Find the exact value of the six trigonometric functions of the angle in each figure. V5
Find the exact value of the six trigonometric functions of the angle in each figure. V3 2.
Find the exact value of the six trigonometric functions of the angle in each figure. 12
Find the exact value of the six trigonometric functions of the angle in each figure. 3 4
Find the exact value of the six trigonometric functions of the angle in each figure. 2
Find the exact value of the six trigonometric functions of the angle in each figure. 3 3.
Find the exact value of the six trigonometric functions of the angle in each figure. 3 2
Find the exact value of the six trigonometric functions of the angle in each figure. 3 4)
Find the exact value of the six trigonometric functions of the angle in each figure. 12
True or False In a right triangle, if we know the two acute angles, we can solve the triangle.
True or FalseIn a right triangle, if two sides are known, we can solve the triangle.
When you look up at an object, the acute angle measured from the horizontal to a line-of-sight observation of the object is called the __________.
True or FalseIn a right triangle, one of the angles is 90°and the sum of the other two angles is 90°.
True or False sin52° = cos48°.
If θ is an acute angle, solve the equation sinθ = 1/2.
If θ is an acute angle, solve the equation tanθ = 1/2. Express your answer in degrees, rounded to one decimal place.
In a right triangle, if the length of the hypotenuse is 5 and the length of one of the other sides is 3, what is the length of the third side?
If f(x) = 2x2 + 3x + 1 and g(x) = x2 + 3x + 2, solve:(a) f(x) = 0(b) f(x) = g(x)(c) f(x) > 0(d) f(x) ≥ g(x)
For the functionf(x) = 2x5 - x4 - 4x3 + 2x2 + 2x - 1:(a) Find the real zeros and their multiplicity.(b) Find the intercepts.(c) Find the power function that the graph of f resembles for large.(d)
If sinα = 1/3, π/2 < α < π, and cosβ = -1/3, π < β < 3π/2, find the exact value of:(a) cosα(b) sinβ(c) cos(2α)(d) cos(α + β)(e) sin β/2
Find the exact value of cos(tan-12).
If sinθ = -1/3 and π < θ < 3 π/2, find the exact value of:(a) cosθ(b) tanθ(c) sin(2θ)(d) cos(2θ)(e) sin((1/2)θ)(f) cos((1/2)θ)
Sketch a graph of each of the following functions. Label at least three points on each graph.Name the inverse function of each and show its graph.(a) y = x3(b) y = ex(c) y = sinx, -π/2 ≤x
Use transformations to graph the equationy = cos(x - π/2) - 1.
Use transformations to graph the equation y = 3ex - 2.
Use transformations to graph the equation y = |x - 3| + 2.
Test the equation 3x + y2 = 9 for symmetry with respect to the x-axis,y-axis, and origin. List the intercepts.
Find an equation for the line containing the points (-2, 5) and (4, -1). What is the distance between these points? What is their midpoint?
Find the real solutions, if any, of the equation3x2 + x - 1 = 0
Solve each equation on 0 ≤ θ < 2π.4 sin2θ + 7 sinθ = 2
Solve each equation on 0 ≤ θ < 2π.sin(θ + 1) = cosθ
Solve each equation on 0 ≤ θ < 2π.cos2θ + 2sinθ cosθ - sin2θ = 0
Solve each equation on 0 ≤ θ < 2π.-3cos(π/2 - θ) = tanθ
Solve each equation on 0 ≤ θ < 2π.4sin2θ - 3 = 0
Use sum, difference, product, or half-angle formulas to find the exact value of each expression.cos65° cos20° + sin65° sin20°
Use sum, difference, product, or half-angle formulas to find the exact value of each expression.sin75° + sin15°
Use sum, difference, product, or half-angle formulas to find the exact value of each expression.sin75° cos15°
Use sum, difference, product, or half-angle formulas to find the exact value of each expression.cos (sin-12/3 + tan-13/2)
Use sum, difference, product, or half-angle formulas to find the exact value of each expression.tan (2sin-16/11)
Use sum, difference, product, or half-angle formulas to find the exact value of the expression.sin(1/2cos-13/5)
Use sum, difference, product, or half-angle formulas to find the exact value of the expression.tan75°
Use sum, difference, product, or half-angle formulas to find the exact value of each expression.cos15°
Establish the identity. tan 0 - cot 0 tan 0 + cot 0 = 1 – 2 cos? 0
Establish the identity.Sin(3θ) = 3sinθ - 4sin3θ
Establish the identity. sin(a + B) tan a + tan B = cos a cos B
Establish the identity.tanθ + cotθ = 2csc(2θ)
Establish the identity.sinθtanθ + cosθ = secθ
Establish the identity. csc 0 + cot 0 sec 0 + tan 0 sec 0 tan 0 csc 0 - cot 0
Use a calculator to evaluate expression. Express angles in radians rounded to two decimal places.cot-1 5
Use a calculator to evaluate expression. Express angles in radians rounded to two decimal places.tan-1 3
Use a calculator to evaluate expression. Express angles in radians rounded to two decimal places.sec-1 1.4
Use a calculator to evaluate expression. Express angles in radians rounded to two decimal places.sin-1 0.382
Find the exact value of expression. Express angles in radians.Sec(cos-1(-3/4))
Find the exact value of expression. Express angles in radians.Cot(csc-1(√10))
Find the exact value of expression. Express angles in radians.tan(tan-1 7/3)
Find the exact value of expression. Express angles in radians.sin-1 (sin 11π/5)
Find the exact value of expression. Express angles in radians.sin-1 (-√2/2)
Find the exact value of each expression. Express angles in radians.sec-1 (2/√3)
If you are given the value of and want the exact value of what form of the double-angle formula for is most efficient to use?
Use a half-angle formula to find the exact value of sin 15°. Then use a difference formula to find the exact value of sin 15°.Show that the answers found are the same.
Find the exact solution of each equation.2cos-1x + π = 4cos-1x
Find the exact solution of each equation.-3sin-1 x = π
Use a graphing utility to solve each equation on the interval Approximate any solutions rounded to two decimal places.Sinx = e-x
Use a graphing utility to solve each equation on the interval Approximate any solutions rounded to two decimal places.sinx = lnx
Use a graphing utility to solve each equation on the interval Approximate any solutions rounded to two decimal places.3cosx + x = sinx
Use a graphing utility to solve each equation on the interval Approximate any solutions rounded to two decimal places.2sinx + 3cosx = 4x
Use a graphing utility to solve each equation on the interval Approximate any solutions rounded to two decimal places.2x = 5sinx
Use a graphing utility to solve each equation on the interval Approximate any solutions rounded to two decimal places.2x = 5cosx
Use a calculator to find an approximate value for each expression, rounded to two decimal places.cot-1(-4)
Use a calculator to find an approximate value for each expression, rounded to two decimal places.sec-13
Use a calculator to find an approximate value for each expression, rounded to two decimal places.cos-1(-0.2)
Use a calculator to find an approximate value for each expression, rounded to two decimal places.tan-1(-2)
Use a calculator to find an approximate value for each expression, rounded to two decimal places.cos-14/5
Use a calculator to find an approximate value for each expression, rounded to two decimal places.sin-10.7
Solve each equation on the interval 0 ≤ θ ≤2π.sinθ - √3cosθ = 2

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