Write an equation of the form y = a sin bx , where a > () and b >0, so that the graph has the given amplitude and period. a. amplitude: 1 period: 5 y = 5 sin

Q: the function y = sin (2x-30 °) is given. Find the period T of the function.

A: A function is like a machine that takes in inputs and gives the output. The inputs are the…

Q: Give an equation for a transformed sine function with an amplitude of 3, a period of , and a phase…

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Q: Find the amplitude, the period, and the phase shift and sketch the graph of the equation.

A: Given: y=-2sin(2x-π)+3Calculation: The given function is the sinusoidal function.…

Q: Find the amplitude, period, and horizontal shift of the function. y = 2 sin(x - 5)

A: The equation can be written in standard form as:y=2 sin56x-π4comparing withy=A…

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

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Q: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below.

A: Question- Write an equation of the form y=a sin bx or y= a cos bx.  to describe the graph .

Q: Consider the graph for y = -2 sin(2x + 150°) + 1 , determine the following, a) amplitude b) phase…

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Q: Find the amplitude, the period, and the phase shift and sketch the graph of the equation.

A: Given y=12sin 2πx We, use the form a sin (bx-c)+d to find the variables required to find the given…

Q: Find the amplitude, period, phase shift, and x- intercepts for the function given below. Then sketch…

A: Given :-  y = 12 sin( 3x - π2)  Solution :-  Clearly, Amplitude = 12 Period -> sin(x) functions…

Q: State the value of k in the equation of a sinusoidal function, if it's period is 100. 18 5 36000 1…

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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 the amplitude, period, and phase shift of y = 2 sin(r-)

A: The given function is  y=2sin12x-π4               ⋯1 Consider the standard sin function with…

Q: Determine the amplitude, period, any vertical translation, and any phase shift of the given graph. y…

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Q: Determine the amplitude and period of the function y = 4 cos 2πx. Then graph one period of the…

A: Given y=4Cos 2πx

Q: Find the amplitude and period of the function. y = -6 + cos(4x)

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Q: Find the amplitude, period, and phase shift of the function. =I 1 sin (3x-x)+3 Give the exact…

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Q: Find the amplitude, period, and phase shift of the function, and graph one complete period. y = 4…

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Q: Find the amplitude and period and sketch the graph of the equation.

A: y=5cosx Comparing with y=acosbx, we get a=5  &  b=1 Now amplitude is, a=5=5 & period is,…

Q: a) Write an equation for a sine function with an amplitude of 2, midline at y = 1 and a period of 2

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Q: For y = 5 cos (4x - π), find the amplitude, the period, and the phase shift.

A: The amplitude of a trigonometric function is half the distance between the top and bottom of the…

Q: Find the period and the amplitude of the periodic function. y =-4 cos 8r

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Q: b) Find an equation for a sine function for the graph above.

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Q: The parent function for a sine wave, y = sinx, has an amplitude of and a period (or wavelength) of

A: Given parent function for a sine wave is

Q: Sketch the graph: y = 3 sin( 2x – - Find the period, amplitude, and phase shift.

A: Let us first find the graph.

Q: Find the amplitude, the period, and the phase shift and sketch the graph of the equation.

A: Given y=3 cos x+3π-2 Compare the equation with a cos(bx-c)+d to find the variables to find the…

Q: Find the amplitude, the period, and the phase shift and sketch the graph of the equation.

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Q: Find the amplitude, period, and phase shift of the fur y=2+3 sin| 3x+ 4

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Q: Write an equation of the form y= a sin bx or y= a cos bx to describe the graph below. 'y 3 AA x -2 4…

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Q: Graph the function: y = -2 cos

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Q: The graph of y = A sin Bx has amplitude =_____ and period =______.

A: We have to fill in the blanks: The graph of y=A sin Bx has amplitude =_____ and period =______. We…

Q: Determine the amplitude, period, any vertical translation, and any phase shift of the given graph.…

A: Given:- y = -4 cos(x-π/6)  To find:- (1) amplitude, (2) period, (3) any vertical translation, and…

Q: Find the amplitude, the period, and the phase shift and sketch the graph of the equation.

A: To sketch the graph of the equation

Q: 4b) Write a sine function that has an amplitude of 4, a midline of 3 and a period of T.

A: 4b. Consider the function y=4sin2x+3. Clearly, amplitude is 4.

Q: Find the amplitude and period and sketch the graph of the equation.

A: Known fact: For the function of the form y=AcosBx+D, Amplitude is A and period is 2πB.

Q: Find the amplitude and period of the function. y = + cos(xx)

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Q: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below. Osino Ocos O=0

A: given y(0) =0 by graph let equation y = a sinbx and then proceed

Q: Find the amplitude, the period, any vertical translation, and any phase shift of the graph of y =…

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Q: Find an equation for the graph shown to the right. ..... Type the equation in the form y = A sin…

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Q: Find the period and graph the function. y = -4 tan x

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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 equation…

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Q: Find the amplitude, the period, and the phase shift and sketch the graph of the equation.

A: We have been given the equation  y=-2sinπ2x-π4

Q: Determine the amplitude, period, and phase shift for the function. 元 y = 3 sin x- + 4 2

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Q: Write an equation of the form y=a sinbx or y = a cos bx to describe the graph below. 2- JT OsinO…

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Q: Find the amplitude, the period, and the phase shift and sketch the graph of the equation.

A: y=-2sin(2πx+π)

Q: consider y=1/2cos(pi x+pi/2)-1, find the amplitude, vertical shift, period and phase shift

A: First we factor out pi from pi*x+pi/2

Q: Find the period and the amplitude of y = 3 cos + 4.

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Q: how would i graph l(t)=270sin(70(pi)(t)), when t is greater than or equal to 0 and what would be…

A: Use the following formulae:

Q: Find the amplitude and period for the function y = -2 sin(10x).

A: Amplitude of the function asin(bx+c)+d is a and period is 2πb.

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.