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mathematics
algebra and trigonometry graphs
Algebra And Trigonometry Graphs And Models 6th Edition Marvin Bittinger, Judith Beecher, David Ellenbogen, Judith Penna - Solutions
Find the reference angle and the exact function value if they exist.sin ( -450°)
Use a graphing calculator to graph the function.y = - (cos x - x)
Find the exact acute angle θ for the given function value. tan 0 = V3
Find the function value. Round to four decimal places.tan 1086.2°
Find the exact acute angle θ for the given function value.sec θ = √2
Find the exact acute angle θ for the given function value. csc = 2√3 3
Find the function value. Round to four decimal places.cos ( -295.8°)
Find the exact acute angle θ for the given function value.cot θ = √3
Find the exact acute angle θ for the given function value. cos 0 اعداد 2
Find the function value. Round to four decimal places.cos 273°45″
Find the function value. Round to four decimal places.sin 118°42′
Find the function value. Round to four decimal places.sin ( -16.4°)
Find the exact acute angle θ for the given function value. sin 0 2
Find the function value. Round to four decimal places.cot 146.15°
Find the exact acute angle θ for the given function value.tan θ = 1
Find the function value. Round to four decimal places.cos 205.5°
The transformation techniques that we learned in this section for graphing the sine and cosine functions can also be applied to the other trigonometric functions. Sketch a graph of each of the following. Then check your work using a graphing calculator.
Find the function value. Round to four decimal places.tan 310.8°
Find the exact acute angle θ for the given function value. sin 0 || √2 2
One of the motivations for developing trigonometry with a unit circle is that you can actually “see” sin θ and cos θ on the circle. Note in the following figure that AP = sin θ and OA = cos θ. It turns out that you can also “see” the other four trigonometric functions. Prove each of the
Using a calculator, consider (sin x) /x, where x is between 0 and π/2. As x approaches 0, this function approaches a limiting value. What is it?
Using graphs, determine all numbers x that satisfy sin x < cos x.
Given thatsin 65° = 0.9063,cos 65° = 0.4226,tan 65° = 2.1445,find the trigonometric function values for 115°.
Given thatsin 27° = 0.4540,cos 27° = 0.8910,tan 27° = 0.5095,find the trigonometric function values for 333°.
Find the acute angle θ, to the nearest tenth of a degree, for the given function value.cot θ = 1.351
Given thatsin 41° = 0.6561,cos 41° = 0.7547,tan 41° = 0.8693,find the trigonometric function values for 319°.
In Exercises, find the signs of the six trigonometric function values for the given angles.91°
Find the acute angle θ, to the nearest tenth of a degree, for the given function value.cot θ = 2.127
In Exercises, find the signs of the six trigonometric function values for the given angles.-272°
In Exercises, find the signs of the six trigonometric function values for the given angles.-215°
Find the acute angle θ, to the nearest tenth of a degree, for the given function value.sin θ = 0.4005
Find the acute angle θ, to the nearest tenth of a degree, for the given function value.cos θ = 0.6879
Find the acute angle θ, to the nearest tenth of a degree, for the given function value.tan θ = 3.056
In Exercises, find the signs of the six trigonometric function values for the given angles.-620°
In Exercises, find the signs of the six trigonometric function values for the given angles.194°
Find the acute angle θ, to the nearest tenth of a degree, for the given function value.sin θ = 0.9022
In Exercises, find the signs of the six trigonometric function values for the given angles.-57°
Use a graphing calculator to determine the domain, the range, the period, and the amplitude of the function.y = |cos x| + 1
In Exercises, find the signs of the six trigonometric function values for the given angles.319°
Use a graphing calculator to determine the domain, the range, the period, and the amplitude of the function.y = (sin x)2
Find the reference angle and the exact function value if they exist.tan 0°
Find the acute angle θ, to the nearest tenth of a degree, for the given function value.tan θ = 2.032
Find the reference angle and the exact function value if they exist.cos 270°
Find the acute angle θ, to the nearest tenth of a degree, for the given function value.sin θ = 0.5125
Find all numbers x that satisfy the following. Check using a graphing calculator.a) sin x = 1b) cos x = -1c) sin x = 0
Find the reference angle and the exact function value if they exist.sin ( -135°)
Find the function value. Round to four decimal places.sin 59.2°
Complete. (For example, sin (x + 2π) = sin x.)sin (x - π) = ______
Find the reference angle and the exact function value if they exist.cos 90°
Find the function value. Round to four decimal places.cot 30°25′6″
Complete. (For example, sin (x + 2π) = sin x.)sin (x + π) = ______
Find the reference angle and the exact function value if they exist.sec 315°
Find the function value. Round to four decimal places.sec 35.28°
Complete. (For example, sin (x + 2π) = sin x.)cos (x + π) = ______
Find the function value. Round to four decimal places.csc 89.5°
Complete. (For example, sin (x + 2π) = sin x.)cos (x - π) = ______
Find the reference angle and the exact function value if they exist.tan 480°
Find the function value. Round to four decimal places.cos 4°
Complete. (For example, sin (x + 2π) = sin x.)cos (π - x) = ______
Find the reference angle and the exact function value if they exist.cos 0°
Find the function value. Round to four decimal places.tan 85.4°
Complete. (For example, sin (x + 2π) = sin x.)sin (π - x) = ______
Find the function value. Round to four decimal places.tan 63°48′
Complete. (For example, sin (x + 2π) = sin x.)cos (x + 2kπ), k an integer = ______
Find the exact function value, if it exists. tan TT 6
Find the reference angle and the exact function value if they exist.csc 225°
Find the exact function value, if it exists.cos ( -13π)
Complete. (For example, sin (x + 2π) = sin x.)sin (x + 2kπ), k an integer = ______
Use a graphing calculator to graph the function.y = 7.5 cos x + sin 2x
Find the exact function value, if it exists. sin 7πT 6
Find the reference angle and the exact function value if they exist.sin 1050°
Find the function value. Round to four decimal places.csc 45.2°
Write an equation for a function that has a graph with the given characteristics. Check using a graphing calculator.The shape of y = 1/x, but shrunk vertically by a factor of 1/4 and shifted up 3 units
Find the reference angle and the exact function value if they exist.sin 495°
Find the exact function value, if it exists. sin 5п 3
Use a graphing calculator to graph the function.y = 4 cos 2x - 2 sin x
Find the function value. Round to four decimal places.cos 40.35°
Write an equation for a function that has a graph with the given characteristics. Check using a graphing calculator.The shape of y = x3, but reflected across the x-axis, shifted right 2 units, and shifted down 1 unit
Use a graphing calculator to graph the function.y = cos 3x + sin 3x
Graph both functions in the same viewing window and describe how g is a transformation of f. _f(x) = |x|, g(x) = |x - 4 + 1
Find the reference angle and the exact function value if they exist.cot ( -180°)
Find the exact function value, if it exists. tan 5 п 4
Find the function value. Round to four decimal places.cos 74°10′40″
Graph both functions in the same viewing window and describe how g is a transformation of f.f(x) = x3, g(x) = -x3
Find the complement and the supplement.π/12
Use a graphing calculator to graph the function.y = cos 2x + 2x
Find the reference angle and the exact function value if they exist.tan 240°
Find the function value. Round to four decimal places.sec 38.43°
Find the complement and the supplement.π/4
Find the reference angle and the exact function value if they exist.csc 90°
Find the exact function value, if it exists.cos π
Find the function value. Round to four decimal places.sin 26.1°
Graph both functions in the same viewing window and describe how g is a transformation of f.f(x) = x2, g(x) = (x - 2)2
Find the complement and the supplement.3π/8
Use a graphing calculator to graph the function.y = cos x - x
Find the reference angle and the exact function value if they exist.cos ( -180°)
Find the function value. Round to four decimal places.sin 69°
Find the function value. Round to four decimal places.tan 4°13′
Graph both functions in the same viewing window and describe how g is a transformation of f.f(x) = x2, g(x) = 2x2 - 3
Find the complement and the supplement.5π/12
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