Graph the functions in Exercises 13–22. What is the period of each function? 14. sin(x/2) 13. sin 2x пх 16. cos 2 15. сos пx пх 17. –sin 3 18. —сos 2пx - }) 19. cos ( x 20. sin( x + 6.

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Q: prove that sin x is a perodic function .Also find its period

A: Let the function sin x is a periodic function with period p.

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Q: Show that the period of f(θ)= tan θ is 2π.

A: Consider the function  fθ=tanθ

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A: Trigonometric formula

Q: How would you graph one period of f(x)=cos3(x+ π) on paper?

A: We will find out the required graph.

Q: Graph the functions in Exercises 13–22. What is the period of each function? 13. sin 2x 14. sin…

A: See the attachment

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Q: What is the period of the function f(x) = -4 cos os(5-9)-7? %3D Give an exact value. units

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Q: » find period of 8 ystan 4x @ y.5.cos.so* Cos 10X

A: Given y = tan(4x) Period = π/k where k is coefficient of x Therefore k = 4 Period = π/4

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Q: In Exercises 101–104, use a graphing utility to graph two periods of the function. 101. y = 3 sin(2x…

A: 101- Given- y=3sin2x+π To Find- The graph of the above expression using graphing utility.

Q: Sketch exactly two full periods of y=-3/2 sin (x/2- pi/4). Indicate all the key points on the x-axis…

A: Given: y=-32 sin x2-π4 To sketch for two full periods.

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A: To find the height at which spring has height of 3 feet

Q: *Sketch : 3 sin (x-Tt/4) +2 إضافة ملف

A: y=3sin(x-π4)+2

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Q: Determine the equation of the cosine function that has an amplitude of 4, a period of 2T, and has a…

A: The general equation of cosine function is y=AcosBx-C+D Here,  A=AmplitudeP=2πB=PeriodCB=Horizontal…

Q: In Exercises 1–8, find a point c satisfying the conclusion of the MVT for the given function and…

A: By MVT given that f(x)=cosx−sinx

Q: For y=2sin(9x)y=2sin(9x), its amplitude is__________ its period is __________

A: Given that y=2sin(9x) To find Amplitude and period.

Q: In Exercises 68-73, determine the amplitude and period of each function. Then graph one period of…

A: 68). Given function is y=3sin4x. To determine the amplitude and period of given function. Solution:…

Q: Show that the period of f(θ)=cos θ is 2π.

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Q: If f(x) = sin(2x) + sin(4x) + sin(6x), determine the fundamental period. %3D

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Q: In Exercises 35–42, determine the amplitude and period of each function. Then graph one period of…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: What are the periods of these functions? (a) y = sin20           (b) y = sin 0/2 (c) y = sin20 + sin…

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Q: what is the period of the function: y=-3 cos (2x-π)? 1. 2 2. 2π 3.π 4. 2π/3

A: Use function of the form y = acos(bx - c) + d

Q: sketch one full period and label the five (sr -) 2 key points of the graph of y = 4 sin ( 37 - -x 3

A: Sketch one full period and label the five key points of thegraph of y=4-32sin3π-23x.

Q: Graph the function over a 15) y = 4 + 2 sin(x - 7) one-period interval. %3D

A: Given: y=4+2sinx-π for graph given function, first we simplify it so, y=4+2sinx-π=4+2sin-π+x…

Q: Q1 : limx¬1 x(1 – cos-)

A: To find the limit

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Q: What is the period of the function f(x) = 2 sin x? %3D

A: Given f(x) = 2 sin(1/2 x) Since for any given sine function of form  A.sin(bx) the period is 2π/b

Q: Write an equation of the cosine function with amplitude 2 and period 6t. Oy=-2 cos cos O y=2 cos x…

A: Given amplitude = 2 and period = 6π We have to write the equation of the cosine function.

Q: Make a table using multiples of x/4 for x to sketch the graph of y = cos 2x from x = 0 to x = 2x. y…

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Q: What is the period of f(x) = sin(3Ħx – 4) + 2? %3D

A: For a given function: Time period (T) =        2(PI)     _        w(omega) Whereas addition of DC…

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Q: Use Figure 7 to prove that (cos- x)': V1 x2 1 V1-x y FIGURE 7 Right triangle with y = cos- x. %3D

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Q: 7) Find the exact value of the Tan t. %3D

A: Find the exact value of tan(π) is,             tan(π) = sin(π)/ cos(π)            We know that,…

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Q: Graph the equation over a one-period interval. 18. y 2-cosx 19. y= sin 2x

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Q: Find the period of the function y = 7 tan 2 x

A: Consider the function, y=7tan2x Comparing the given function with standard function, y=AtanBx+C+D…