Which of the following is the function rule for the graph of the sin function from 0 to 2 T if the amplitude is 1.5 and the period is ? 1.5sin( 71/4)x 1.5sin2x O 1.5sin4x

Q: 30. Use the function f (x ) A. Find the period. = 3sin(2x- TT) to answer the questions. B. Find the…

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Q: 3. Which of the following is the equation of a sine function having amplitude of 3 and the period is…

A: Hi There,  As per bartleby rules, we are supposed to do only one question at a time.  Kindly repost…

Q: sin(x) 0.5 0.5 -1 -2n -3n/2 -T -n/2 T/2 TT 3n/2 2T 360° -270° -180° -90° 90° 180° 270° 360° 1.

A: Topic:- Functions

Q: Identify the amplitude and period of the following function. q1x2= 3.6 cos 1px>242

A: Given function

Q: Which of the following are false? Select one: O a. The amplitude of f(x) = 3 sin x is 3/2. O b. The…

A: To determine: The False statement

Q: Which of the following statements is/are TRUE about the graph of y = a cos (bx + c) and y = a sin…

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Q: 1. For the following Function: y = 3 sin[4(x + 60°)] - 2 Determine the following: Amplitude: Period:…

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Q: State the period and amplitude of each of the following Y= -1/3 cos (pi x)

A: We can solve the problem by comparing it with the standard equation.

Q: Which of the following is the period of the function f(x) = cos(x)? 2 27

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Q: 6. Which of the following is the equation of the sine function with amplitude 3 and period 4x ? a.…

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Q: Which of the following is the period of the function y = cos (3x O a. 37 O b. 27/3 O C. T/3 O d. It…

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Q: 5. Determine the phase shift for the following trigonometric function. -2 cos(0-풍)+ 3 T units to the…

A: For a given function: y = Acos( B ( x + C) )            Phase shift is C units to the left      y…

Q: What is the period of the graph of the function below? 3. f(t) = 2 cos(4t – 1) - - 2.

A: Given:            ft=2 cos4t-32π periodicity of a . cosbx+c+d=periodicity of cosxb

Q: 16. Which graph represents the function f(x) = 2 sin(30)? CO

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Q: A cosine function is graphed below, and given in standard form y = A cos(B (x –- C)) +D: Enter the…

A: The graph of the function is

Q: 1 For each defined function, give the amplitude, period, vertical translation, and phase shift, as…

A: Topic = Trigonometric equations

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: 3.3.61 Find the value of s in the interval 0, that satisfies the given statement. COS S=0.8564…

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Q: Which of the following statements is/are TRUE about the graph of y = a cos (bx + c) and y = a sin…

A: y = a cos (bx + c) y = a sin (bx + c)   Amplitude = |a| a < 0; graph shrunks vertically. a >…

Q: Find a function of the form y = A sin(kæ) + C or y = A cos(kæ) + C whose graph matches this one: -3…

A: Graph of the function is given is of the form y=Asin(kx)+C or y=Acos(kx)+C

Q: A 119. Use a calculator in radian mode to complete the following table. What can you conclude about…

A: Trigonometric ratios may vary over real number depending on the ration like tangent. Where as sine…

Q: Find the amplitude (a) and period (T) of the following function s(t) = 6 cos (760at – 9) a =

A: To find the amplitude and period of the given function

Q: Find the exact value of each of the following under the given conditions below. tan a <a<;…

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Q: Let f(x) = 3 sin(nx) – 2. a. What is the midline of the graph of f(x)? b. What is the amplitude of f…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find a function of the form y A sin(kz) + C or y = A cos(kz) + C whose graph matches this one: -43…

A: Equation of graph

Q: Determine whether the function is periodic or non-periodic. 91 (t)= 4 sin(4xt =) +3 cos ( 3t +

A: Given g1t= 4 sin4πt-π4+3 cos3t+π3

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

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Q: 4. (a) Find sin (0) given that cos (0) = 1/5 and 0 is in quadrant IV.

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Q: The graph of which function has a period of a and an amplitude of 7? 1 1. 1 a. y = sin 2x с. y =…

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Q: Find the exact value of each of the following under the given conditions: (a) sin(∝ + β ) (b) cos (…

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Q: d. The distance a freely falling body covers in the nth second is given by S(n)=d(n)-d(n-1). Show…

A: Explained below

Q: 4. Which of the following functions has the largest period? a. f(x) b. f(x) c. f(x) = = = sin(2x…

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Q: Let f(x) = 3 sin(nx) – 2. What is the midline of the graph of f (x)? а. b. What is the amplitude of…

A: Given that  f(x)=3sin(πx)-2 To find the midline, period and amplitude

Q: Which is the correct function for the graph below? Each vertical mark is 1 unit. (0,0) 2T of (x) =…

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Q: 4 4 Determine algebraically the amplitude and period of the following function: ? = sin( +0)+ sin(

A: Expand the sin function.

Q: The graphs of ƒ (x) and g(x) = f (x + k) are below. What is the value of k' 2 4 5 6 789 -2 -1 sin…

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Q: A ball on a spring is pulled 4 inches below its rest position and then released. After t seconds,…

A: Given: The ball's distance, d in inches from its rest position is d=-4 cos π3t. Find t for d=-2.

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

A: The given graph is,  To find its equation.

Q: Which of the following statements is TRUE? The graph of a cosine function is symmetric with respect…

A: Option (B) is true. Explanation: a. Equation of  cosine function y=cosx Replace x to -x and y to -y…

Q: 1.0 16 Does this graph have the shape of sin(z) or cos(a)? What is the period of the graphed…

A: Given is the graph.

Q: Given the function f(x) = -3 sin 3 Give exact answers using fractions and/or multiples of pi as…

A: Amplitude : It is the vertical distance from the mean position or horizontal axis to the maximum or…

Q: Which of the following statements is/are TRUE about the graph of y = a cos (bx + c) and y = a sin…

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Q: Consider the following graph, showing work only (no other identities) for amplitude, period, phase…

A: For the given graph,  Amplitude , period , phase shift and middle line is evaluated by using the…

Q: 1. Which of the following is the amplitude of y = 4 sin (3x)? В. п/4 С. п/3 A. 4 D. п/6 2. What is…

A: Explanation of the answer is as follows

Q: Which of the following statements is/are TRUE about the graph of y a cos (bx + c) and y-a sin (bx +…

A: Lets select values for a, b and c  a = 4 , b = 2  and  c = 5   1)  y = 4 cos(2x + 5)    2) y = 4…

Q: Find the exact value of the expression whenever it is defined. (If an answer is undefined, enter…

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Q: 4. Use a sine function to describe the height of the tides of the ocean if high tide raises the…

A: The high tide of the ocean raises the water level to 5 m at noon and low tide drops it down to 1 m…

Q: 24 3T Find the exact value of sin20 given tan0 == and t <0 < commanu option Find the evact valuo of…

A: Given that tanθ=247 and π&lt;θ&lt;3π2. Need to find the exact value of sin2θ.

Q: Graph two full periods of the following trigonometric functions. TT a) f(x) 3 cos 2x TT 21 -2 TT b)…

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Q: The graph of which function has a period of z and an amplitude of 7? 1 A y =- sin 2r 1 1 C y = sin B…

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