Homework: Graph the following functions and show domains and ranges of them. 1+ cos 2r 1. y= sin2x 2. y=2 tanx 3. y= cot 3x 4. ys

Q: Sketch the graph and give its properties for each of the following functions. Show your Solution. a.…

A: Sketch the graph and give its properties for each of the following functions. Show your Solution.a.…

Q: Sketch the graph and give its properties for each of the following functions. Show your Solution.…

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Q: Graph the function, and determine the amplitude, period, and phase shift:…

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Q: y = cos x sin xy = COS x

A: The given function is y=sinx and y=cosx for x in R.

Q: Q1/ Graph the following functions (choose 2 only) 1) y = 4 sin x 2) y = cot x 3) y = csc x

A: (1) Calculate a table of points for y=4sinx taking the values of x as 0, π2, π, 3π2, 2π. x y 0…

Q: 16. Copy and complete the fol- lowing table, giving the sign of the function value in each quadrant.…

A: we have to write about the signs of functions in all the four quadrants

Q: QUESTION 2 For cos2(xy) =- evaluate y when x = 1. 4 3 6. 3

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Q: Determine the graph of the following function. y = 5 sin? ()

A: Given,           y = 5sin2x2

Q: Determine the amplitude and period of the function y = 5 cos 2πx. Then graph one period of the…

A: Known facts: For the function y=AcosBx+C+D,                 1. Amplitude is A.                 2.…

Q: Find a function of the form y = A sin(kæ) + C or y = A cos(kæ) + C whose graph matches the function…

A: Consider the graph

Q: The function graphed is of the form y = a sin bx or y = a cos bx, where b > 0. Determine the…

A: Since you have asked multiple question we will solve the first question for you. If you want any…

Q: Find the amplitude, period, phase shift and vertical shift of the following functions and then graph…

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Q: The function graphed is of the form y = a sin bx or y = a cos bx, where b > 0. Determine the…

A: The function is having non zero value at x=0⇒ It is of the form y=acosbx

Q: se the given information to find the exact function value. Simplify your answer as much as possible.…

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Q: b) Graph the following trigonometric function for the interval 0 ≤x≤ 2: y=2 sin(x)

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Q: GRAPH THE TRIGONOMETRIC FUNCTION USING THE AMPLITUDE, PERIOD, PHASE SHIFT, AND VERTICAL SHIFT. fy=-…

A: I am attaching image so that you understand each and every step.

Q: Determine the amplitude and period of y = 3 sin x/2. Then graph the function for 0 ≤ x ≤ 4*.

A: Given: y=3 sin x2 To determine: The amplitude & periodicity of given function. Also, to draw the…

Q: The graphs of the functions y = sinx and y= cosx have the same domain.       True   False

A: Periodic functions are the functions in which its output repeats after regular intervals of input;…

Q: Find a function of the form y = A sin(ka) + C or y = A cos(ka) + C whose graph matches the function…

A: Consider the function is: y = A sin(kx) + C From the graph,  the maximum value of the function is: 7…

Q: shed No1 O Find the roat of equationi- Sin Z=3

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Q: Sketch the graph of each equation from x = 0 to x = 2π. Create a table of values and graph for each…

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Q: Graph the function, and determine the amplitude, period, and phase shift:…

A: For the given function  y = 1/2 sin(x  +  π/2  ) Amplitude, phase and period is determined from the…

Q: Sketch the graph and give its properties (period, amplitude, minimum value, maximum value, zeros,…

A: a) Compare this equation with y= A sin(Bx+C)+D where  Amplitude = A  period = 2πB phase shift = -CB…

Q: Find dy for the following function 7 COSX Y=]Cosx I+ Sin x

A: We know the quotient rule of differentiation states that  ddxf(x)g(x)=f'(x)g(x)-g'(x)f(x)g(x)2 Also,…

Q: QUESTION 2 For cos (xy) = evaluate y when x = 1. 3 O o o O

A: See the solution.

Q: 10.Graph the function, and determine the amplitude, period, and phase shift:…

A: Consider the following function: y=12sinx+π2 Consider the following graph:

Q: Without graphing the function, determine its amplitude or period as requested. y = -2 cos x Find the…

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Q: Graph y = 2sin x  +2 cos x for x between 0 and 4 pi

A: Given that: y=2sinx+2cosx,    0≤x≤4π To draw the table,

Q: Use your graphing calculator to graph the family of functions for –2 M Sx <2T together on a single…

A: The graph is as follows

Q: Graph y = cos x and y = sec x together for -3π&gt;2 … x … 3π&gt;2. Comment on the behavior of sec x…

A: The given functions are y=cos x   and  y=sec x on -3π2≤x≤3π2. Sketch the graph of y=cos x   and…

Q: Using the features below, write an equation for each sine function. (a) Amplitude of 2.5, period of…

A: The general equation of sine function is: y=AsinBx-C+D A is amplitude of the sine function. The…

Q: Which values are in the range of the given circular function? (a) √2 ______ in the range of sin s…

A: We will solve the problem

Q: Find a function of the form y = A sin(kæ) + C or y = A cos(kæ) + C whose graph matches this one: -7…

A: First try to recognise the parent equation of wave then observed carefully...whether it is shifted…

Q: / Graph the following functions ( 1) y = 4 sin x 2) y = cot x %3D 3) y = csc x %3D

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Q: Given tanA = where 0 <A<. 4 and tanB = 2 where 0 < B < 2 Find tan(A + B). %3D

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Q: Complete the steps by applying trig identities to that the left hand side of the equation is…

A: The solution is:

Q: Complete the table for the sine function below. Equation Amplitude Мaximum Period Phase EOA Value…

A: Consider the given sine function, fx=-2sin-45θ-π15+1

Q: Given the following function f(x), state: a) the amplitude, b) period. c) maximum and minimum value…

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Q: The function graphed is of the form y = a sin bx or y = a cos bx, where b > 0. Determine the…

A: In the graph, at x=0,  y=5 First check y=a sinbx at x=0,  y=5 5=a sin0 5=0                ∵sin(0)=0…

Q: 7. Determine the period of each function: a) y sin- b) y = cos 2(x-45°) c) y = cost = cos(x+90°)…

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Q: Graph y = sin x and y = csc x together for -π … x … 2π. Comment on the behavior of csc x in relation…

A: Consider the given function as y=sinx and y=cscx

Q: Determine the amplitude of the function y = (1/3)sin x.Then graph the  function and y = sin x in the…

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Q: b) Graph the following trigonometric function for the interval 0 ≤x≤2: y = 2 sin(x)

A: Given        y=2sin(πx)0≤x≤2 Use the form as y= asin(bx-c)+d  to find the variables used to find the…

Q: Find the period of the function defined by the following equation, y = 2-4 cos ( 2r Choose the…

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Q: Write the equation of a sine function that has the given characteristics. The graph of y = x2,…

A: Given that: y=x2

Q: x is in  quadrant 4 in sec x = 9/2. What is tan x?

A: The trigonometric equation is secx=92

Q: Use your graphing calculator to graph each family of functions for -2p &lt;= x &lt;= 2p togetheron a…

A: Solution: Consider the given trigonometric function is y = k + sin x for k = 0, 2, 4 where -2π ≤ x ≤…

Q: Graph the function (x – 2)² + (y + 3)² = 4 in Desmos. The points on this circle can also be…

A: Given equation of circle is x-22+y+32=4Parametric equation of given circle is x=2cosθ+2,…

Q: Match each graph of a Trig function with its equation. 21/3 y = sin x) TT/3 y tan(x) y = arctan(x) y…

A: From the given graph; (1). The domain of the graph is: -1,1 And The range of the graph is: 0,π