Find the vertical translation of a sine or cosine function.

Q: Define what is an important property of the sine and cosine functions?

A: The most important property of Sine and Cosine functions is: The sine function is Periodic and odd.…

Q: Find the vertical shift of the sinusoidal function

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

Q: If a, b, and c are the sides of a triangle and A, B, and C are the opposite angles, find: (image) By…

A:

Q: Find the exact circular function value of cos (-2π/3)

A: Given,

Q: Write the equation of a sine or cosine function to describe the graph.

A: Given Graph

Q: Find cose if sine: -0.5, T ≤ 0 ≤ 3rt 2

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: Determine the Period of the Trigonometric Functions

A: we have to determine the period of  the trigonometric functions.

Q: What is the range of the sine function? Use the unit circle to explain where this range comes from.

A: To Determine:  What is the range of the sine function? Use the unit circle to explain where this…

Q: Determine the Amplitude and Period of Sinusoidal Functions

A: To determine the  Amplitude and Period of Sinusoidal Functions

Q: Describe the sine and cosine rules?

A:

Q: Determine the vertical shift of the following Sine graph. O 1.5 O 4.5

A: To determine the vertical shift of the given sine graph.

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: Describe the restriction on the sine function so that it has an inverse function.

A: Consider the portion of the sine curve and the restricting domain of the sin function to -π2≤x≤π2..…

Q: Determine the equation of the sin function

A: The general form of a sine function is represented by the equation,  , where , a is the amplitude,…

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: Define the Inverse Sine Function

A:

Q: Draw the sine function in graph form

A: Given, Amplitude=2 Period = 6 π Vertical shift up=2

Q: What transformation do you need to apply to change a sin function to a cos function?

A: Given: Transformation of sin function to cos function

Q: evaluate the trigonometric function.

A: We have to find the value of tanB.

Q: Write an equation using sine that describes the graph on the left. 5- (7/4, 3) (1/2, 1) (7.1) Submit…

A: Let us choose a portion of the graph.  The general equation of a sine curve is y=asinbx+c+d Here,…

Q: Construct the trigonometric function below by fixing the Amplitude and Period. y=4sinx in graph…

A: Construct the trigonometric function below by fixing the Amplitude and Period. y=4sinx in graph form…

Q: Use a sketch to find the exact value of:

A:

Q: graph the function using radians in #2

A: Plot the graph of the given functions.

Q: Write the equation of a sine or cosine function to describe the graph. `y 3 3 3 3 -3-

A: Given query is to find the equation of the graph.

Q: Construct the trigonometric function below by fixing the Amplitude and Period. y=1/2cosx in graph…

A: The general form of cosine trigonometric function is  y=acosbx-c+d .Note the following results :…

Q: Define the Inverse Cosine Function

A: The inverse cosine function is defined as the inverse of the restricted cosine function. y = cos-1x…

Q: Define the inverse sine function, the inverse cosine function, and the inverse tangent function.

A:

Q: Why are the trigonometric functions sometimes called circular functions?

A: Trigonometric functions are called circular functions because function values can be expressed in…

Q: Find sin

A:

Q: Which function is the reciprocal of the sine function? O cosecant secant O cotangent

A:

Q: Find the amplitude, period and the equation of the midline for the sinusoid below.

A: The general equation of sinusoidal function is y = asinbx-c+d  Where a is the amplitude and d is the…

Q: Show that cosine is an even function and sine is odd.

A: We have to prove that f(x)=cos(x)  is an even function and g(x)=sin(x) is even function .

Q: its amplitude is its period is  its horizontal shift is

A:

Q: Use the addition formula for cosine and the identities to prove the subtraction formula for the sine…

A: We have

Q: How are the sine and cosine functions related to the other fourtrigonometric functions?

A: The objective is to show how the sine and cosine functions are related to the other four…

Q: To graph y = sin (-Bx), first write the function as y = _________ because sine is an_____ function.

A:

Q: What does the amplitude of a sine or cosine function measure?

A: To describe what does the amplitude of a sine or cosine function measure.

Q: Find an angle θ with 0∘<θ<360∘ that has the same:Sine function value as 210∘θ = Cosine…

A: To find angle θ with 0∘<θ<360∘ that has the same: (a) Sine function value as 210 degree. (b)…

Q: Describe the Arcsine and Arccosine Functions?

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

Q: Explain why the domain of the sine function must be restricted in order to define its inverse…

A:

Q: 4. Write the Double angle formulas for sine cosine and tangent

A: Solution:-

Q: In your own words, explain how to find the amplitude and midline of a sine function. V EE

A: Let us assume a sin function is: f(x)=a·sin(b(x-c))+d So the amplitude is= a The midline is: y=d…

Q: find the derivatives of inverse trigonometric functions

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

Q: Derive the function Cos

A:

Q: Construct the trigonometric function below by fixing the Amplitude and Period. y=−1sin2x in graph…

A: To Determine :-  The trigonometric function below by fixing the Amplitude and Period in graph form :…

Q: Write the function term of its cofunction. Assume that all angles labeled θ are acute angles. Sec…

A: Consider the given question,The cofunction identities show the relation between sine and cosine,…