Is the cosine function even, odd, or neither? Is its graphsymmetric? With respect to what?

Q: What is the domain of the cosine function?

A: We know that domain of cosine function is all real numbers as cosine function is defined for any…

Q: Find the exact value of the expression whenever it is defined.arcsin √3/2

A: To find the exact value of arcsin(32) we need to find the angle of sin where sin value is 32  sin…

Q: is there any relationship between the graphs of functions which are reciprocal to each other like…

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Q: Sketch the graph of the function. (Include two full periods.) y = −3 sin(6x + π)

A: Given: y = −3 sin(6x + π) To find: Sketch the graph of the 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…

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Q: What is the period of the function f(x) shown in the graph?

A: Period : The period of any function is defined as the distance between the repitition of function .

Q: Find the tangent of ZE. G 28 45 53 Write your answer as an integer or as a decimal roun tan (E) =…

A: The tangent of an angle is given by the formula- tan x=Perpendicular/ Base Now, in the given figure…

Q: Sketch the graph of y = - -x'cos x

A: By the limit of the function when x goes to zero the function also goes to zero.. But other case…

Q: Find an algebraic expression for cos(arcsin(2x)).

A: To Find an algebraic expression for cos(arcsin(2x)).

Q: Sketch the graph of the function. (Include two full periods.) y = −sin 2πx/3

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Q: Use a trigonometric identity to show that the derivatives of the inverse cotangent and inverse…

A: To show: The derivatives of the inverse cotangent and inverse cosecant differ from the derivatives…

Q: Define the Arcsine and Arccosine Functions?

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Q: Sketch the graph of f (x) = 2 sin (x –÷), also find the amplitude and period %3D

A: Consider the function: fx=2sinx-π2 To sketch the graph of the given function:

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: Sketch the graph of the functions f(x)=sin x, f(x)=cos x, and f(x)=tan x. Show at least two periods…

A: we have to sketch the graph of the functions f(x)=sin x, f(x)=cos x, and f(x)=tan x. Show at least…

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: Sketch the graph of the function f (x). Include two periods. :2 sin +4 Period: Amplitude Key Points

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Q: sketch the fanctions and what is the period of each functions O y= -2sinc-2x) %3D

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Q: Find the amplitude and period of the function. (=cos(6x) - cos(6x) amplitude period Sketch the graph…

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Q: The minute hand on the backwards clock rotates counter-clockwise 60 times as fast as the hour hand…

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Q: Find the period and sketch the graph of a tangent function.

A: Given function is,  y = tan x It is called as tangent function.

Q: Determine the period of the function f (x) = COS Periods radians

A: Given function is cos(7x/3)

Q: Graph one period of the function f(x) = -sin(3x)

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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: Sketch the graph of y=1/2 cosx from x=0 to x= 2 pi by making a table using multiples of pi/2 for x

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Q: Find the exact value of the function: arctan 1

A: See the details solution in below

Q: sketch the functions and what is the period ofeach functions y= Cos X #メ %3D

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: To sketch the graph of a secant or cosecant function, first make a sketch of its ________ function.

A: We know that, One efficient way to graph the coscent function is to first make a quick sketch of the…

Q: sketch the graph of the function Qu, y= 3 sin tx -1

A: Given function is  y= 3sin(x/2)-1

Q: Find the exact value of the function: arcsin(1)

A: arcsin1 can be written as sin-11. The value of sinθ is equal to 1 when θ=π2.

Q: )サー cos( sinx)

A: It is given that the function fx=cos-1sinx. The given function is of the form fgx, by using the…

Q: Which function has a vertical asymptote when the value of the cosine function is 0?

A: We have to find the function which has a vertical asymptote when the value of cosine function is 0 .

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: find the second derivative with detailed sol'n

A: To find: The second derivative of y=e2x-e-2xe2x+e-2x, Formula used: Quotient rule of derivative:…

Q: Is  the sine function continuous every where?

A: we know that sine function is continuous on it's domain which we can see by graph of sine function…

Q: Determine the period of the function g (x) = (cos

A: If g(x)=A cos(Bx+C)+D Then period =2pi/B

Q: Let the trigonometric function f be defined as f(x) = 2 sin(6x),

A: Given: -The trigonometric function f  be defined by, f(x)=2sin(6x) To find: - The amplitude, period,…

Q: Evaluate function cos(arctan squareroot 3)

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Q: Sketch the graph of the following functions. 1. y= 3D3 cos 2x 2. y = -tan 4x

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Q: Sketch the graph of x=cos-¹ y and determine the domain and range

A: we have to sketch the graph of x=cos-1y and determine the domain and range.

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

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Q: Sketch the graph of the function y-1+sin2x without using a calculator.

A: We have to sketch the graph of the function y=1+sin2x.

Q: At what points are the six basic trigonometric functions continuous? How do you know?

A: Sine, Cosine, and tangent are the 3 critical trigonometry ratios, based on which functions are…

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: Write down the characteristics of cosine function and draw its graph.

A: There are six trigonometric functions in which cosine is one of the trigonometric function. Cosine…

Q: Can we use the same techniques to find the derivatives of the other three inverse trigonometric…

A: here we have to use the same techniques to find the derivatives of the other three inverse…

Q: Sin

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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: find the algebra  expression of the inverse of hyperbolic functions: cosine and tangent

A: Recall the fact that the hyperbolic functions of cosine and tangent is given as follows:…

Trigonometric Identities

Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.

Inverse Trigonometric Functions

Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.