is there any relationship between the graphs of functions which are reciprocal to each other like the sine and cosecant functions, cosine and secant, tangent and cotangent functions? what will those be?

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,if any,of each composite function.If there is no value,say it is “not…

A: To find the exact value of sincot-134 Let  x=cot-134cot x=34 So, we need to find sin(x) ... (1) We…

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: Find a sinusoidal function that matches the given graph. If needed, you can enter π =3.1416... as…

A:

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

A:

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 the defined function over a one-period interval. y = - sin (x - pie/2)

A:

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: Sketch the graph of the function. (Include two full periods.) y = 5 sin x

A:

Q: Graph ƒ(x) = x cos x and its second derivative together for 0 ≤ x ≤ 2π. Comment on the behavior of…

A:

Q: What are the derivatives of the inverse trigonometric functions? How do the domains of the…

A: The inverse trigonometric functions are

Q: Find the exact value,if any,of each composite function.If there is no value,say it is “not…

A: tan-1tan2π3=tan-1tanπ-π3                            =tan-1tan-π3…

Q: 6. List 5 similarities and 1 difference between the graphs of y = sinx and y = cosx. Similarities…

A: We have to Write Five similarities and one difference between the graphs of the functions y =  sinx…

Q: Graph ƒ(x) = x cos x and its second derivative together for 0<=x<=2pai. Comment on the…

A: We have to find it's first derivative .

Q: Find the amplitude,period,and phase shift of each function.Graph each function.Be sure to label key…

A: Given: y =4 sin (2x-π)

Q: tan(89.9)≈ 572.96 but tan(89.99)≈ 5,729.58.  Use properties of the tangent function to explain why…

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: How can we evaluate the arcsine and arccosine functions?

A: arcsine function is the inverse of sine function. Domain of arcsine is -1,1 and range of arcsine is…

Q: Sketch a graph given two sign charts of a function and it's derivative.

A: The graph of a function can be drawn using the sign charts of the function. The sign charts show the…

Q: If a function has a two successive maxima at 4 and (7,4) and a range of [-2,4], determine the…

A: answer is in next step. please give a like !!

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

A: The function is given as fx=cosx......(1)

Q: Graph the funcions. What is the period of "Sin (x/2)" function?

A:

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: Use a graphing calculator to evaluate tan (4) 7 Round your answer to three decimal places. tan…

A: Giventan(4π7)

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

A:

Q: create 2 sample word problems of derivative of trigonometric functions  with solutions

A: Trigonometric functions are the periodic functions which denote the relationship between angle and…

Q: Question 2 Differentiate the following function without simplifying y = arc sec(sec(02)) You may use…

A:

Q: Sketch the graph of the function. (Include two full periods.) y = tan 4

A: To Determine: Sketch the graph of the function:

Q: What is the range of the cosine function?

A:

Q: how do you graph sine, cosine, secant, cosecant, tangent, cotangent functions?

A: Question - 1 how do you graph sine, cosine, secant, cosecant, tangent, cotangent functions ?

Q: If the dark blue line represents the graph of y= cos x, write the equations of the other graphs as…

A: From the graphs we can conclude that:-

Q: find the exact value, if any, of each composite function. If there is no value, state it is “not…

A: This question is taken from inverse trigonometry in which we have to find the value of the given…

Q: Find the exact value,if any,of each composite function.If there is no value,say it is “not…

A: sin x is an odd function and the inverse of an odd function is also an odd function. So use the…

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: Graph cach function using radians. 2. 1 - sin 29 - 1 2 0 0 0 یا

A: Please see the below picture for detailed solution.

Q: Graph the curve r = sin(0)+ 1/2

A: Given : Curve r= sin(θ)+ (1/2)  From the given curve(r), the parent function is f(θ) = sin(θ)

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: Define harmonic function.

A: Harmonic Function:

Q: Sketch a rough graph of the function without using acalculator.   y=  2 arctan x

A: Solution:- Sketch a rough graph of the function without using acalculator. y=2 arctan xory=2 tan-1x…

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

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

Q: Explain how to use a sine curve to obtain a cosecant curve. Why can the same procedure be used to…

A: It is known that sine curve and the corresponding cosecant curve have same phase and same period. So…

Q: What Trig function is undefined at 90° O sine cosine O tangent Ocosecant

A:

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: List 5 similarities and 1 difference between the graphs of y = sinx and y = COSK. Similarities…

A: Difference between y=sinx and y=cosx

Q: Match each trigonometric function with one of the graphs. C f (x) = cot x f (x) = sec x O f (x) =…

A: f(x)=cot x option (1) is correct.