its amplitude is its period is  its horizontal shift is

Q: . What happens to the graph of a trigonometric function if it has a positive phase shift?

A:

Q: Find the vertical shift of the sinusoidal function

A: The given graph is  To find the vertical shift of the sinusoidal function

Q: Why are trigonometric functions ideally suited to model phenomena that repeat in cycles?

A: Trigonometric functions sin, cos, tan, cosec, sec, and cot are periodic functions. That is after…

Q: Graph cach function using radians. 3. y =1 sin

A:

Q: What is the range of the sine function?

A: We know, domain of sine function is all real numbers. Also, -1≤sinx≤1 ⇒range of sinx is [-1,1].

Q: How do I find the amplitude and period of y = 4cos3x ?

A:

Q: An observer stands 1,200 m away from a launch pad to observe a rocket launch. The rocket blasts off…

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

Q: Identify the amplitude, period, translations, and midline. y = 4 sin 2 (0+ - Amplitude: Period:…

A:

Q: What are the amplitude and period of the function graphed below?

A: Amplitude : It is half the difference between the maximum and minimum of a periodic function. Period…

Q: Determine the Amplitude and Period of Sinusoidal Functions

A: To determine the  Amplitude and Period of Sinusoidal Functions

Q: What is the domain of the sine function?

A: The domain is a set of x-values where the graph of the function is defined. In other words, the…

Q: Find the indicate parameters ( period, phase shift, domain and range) of y=tan1/2(2x+π/4)-2

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Define the Arcsine and Arccosine Functions?

A:

Q: Explain how to restrict the domain of the sine function so that it becomes a one-to-one function.

A: Here, the given function is, fx=sinx A function is one to one in a domain when, the function doesn't…

Q: Explain how to sketch the graphs of y = sin(x) and y = cos(x) and explain how to find the period,…

A: Explanation and solutions is given below....

Q: What is the period of the sine function?

A:

Q: Find the tangent of ZE. F 56 65 Write your answer as an integer or as a decimal rounded to the…

A:

Q: the graphs of y= sinx and y=cosx differ by a horizontal shift of _____?

A: The graph of y=sinx and y=cosx is shown below:

Q: This is a graph of someone on a swing, measuring height of swing vs time. What is the amplitude and…

A: From the graph  Amplitude  = 2 - 0.92=0.55 m

Q: What is the period of a function?

A: Period of the function: The function f is said to periodic function if there exist P in ℝ such that…

Q: Determine the amplitude, period, phase shift and vertical shift of the following functions.

A: Given :  y=2 sin 4x-12+3 = 2 sin…

Q: Which inverse trigonometric function has a range of 0 < y < π?

A: To find which inverse trigonometric function has a range of 0<y<π, that is the interval 0,π…

Q: Explain how the amplitude and period of a sinusoidal graph are used to establish the scale on each…

A: Query- Explain how the amplitude and period of a sinusoidal graph are used to establish the scale on…

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: Determine the A amplitude , P period and Ph phase shift .

A: Since there are multiple questions present, according to company policy we will be answering only…

Q: Write the equation for a cosecant function satisfying the given conditions period: 3π; range: (- ∞,…

A:

Q: What is the range of the cosine function?

A:

Q: State the definition of the hyperbolic cosine and hyperbolic sine functions.

A: We define hyperbolic cosine and sine function as,

Q: Identify the amplitude, period, horizontal shift, and phase. Label the axes accurately and sketch…

A: Given,y=4-2cos3xStandard form of sinusoidal function is y=AcosBx-C+Don camparing given equation with…

Q: A transformed sine function has a maximum value of 6 and a minimum value of -4. What is the…

A:

Q: An observer stands 2400 ft away from a launch pad to observe a rocket launch. The rocket blasts off…

A: This question can be solved using the concept of rate of change of quantities.

Q: Find an equation for a cosine function having an amplitude of 2, period of 27, horizontal shift of 5…

A: To find an equation for a cosine function having an amplitude of 2, period of 2π, horizontal shift…

Q: Determine the amplitude and period of each function without graphing. y=4 cosx

A: Given: y=4 cos x To find the amplitude and period

Q: What is the amplitude and period of the function shown below?

A: To find: Amplitude and period of a given sinusoidal function.

Q: What are the domain and the range of the secant function? What is the period?

A: The domain of a function is the set of input or argument values for which the function is real and…

Q: Q, Graph the Rollowing function. what is the period of Qll Runction? Y= - Sin tx

A: Given,          The function is y=-sinπx3 .

Q: Define the term oscillations of a sine curve?

A: We have to define the term oscillation of the sine curve. We know the graph of sine,

Q: What is the amplitude and period of the function shown below?

A: We have to calculate amplitude and period of the given function from the graph.

Q: What is the amplitude of the periodic function?

A: A sinusoidal function is a function obtained from a sine curve by transformations like stretching,…

Q: Write the equation of a cosine function with an amplitude of 4, a period of 8, a phase shift right…

A: The answer is found in step-2

Q: Define the term general sine function?

A: Given: Define the term general sine function?

Q: Find the vertical translation of a sine or cosine function.

A: The vertical translation of a sine or cosine function is nothing but the graph is translated up or…

Q: Describe the Arcsine and Arccosine Functions?

A: Our Aim is to describe the Arcsine and Arccosine functions:-

Q: What is the frequency of a tangent function period is 6 pie?

A: We have to find the frequency for given time period.

Q: Let y = 4 cos What is the amplitude? What is the period? What is the phase shift?

A:

Q: I need help finding the amplitudes, periods, start (horixontal shift), and vertical shifts of these…

A: If y=AsinB(x+C)+D then,Amplitude=APeriod=2πBPhase shift=C (positive to the left)Vertical shift=D

Q: When does the graph of a trigonometric function oscillate very rapidly?

A: We know that as x approaches to zero, the function sin(1/x) oscillates infinitely or very rapidly.

Q: Graph two periods of the given cotangent function.

A: Evaluate two consecutive asymptotes.  For this, Subtract π2 from each part. An interval containing…

Q: Find the period of the sinusoidal function. fx 4 -3T -2T 2T -1 -2 -3

A: given,