What is the range of the inverse trigonometric function shown below? y = arcsin(2x + 1) – 1 T+2 T-2 2 (-00, 00) O -1, 1] ㅇ(-끌, 물) n+2 T-2 2

Q: Use an inverse trigonometric function to write θ as a function of x.

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Q: What is the domain of f(theta) = tan(theta)

A: Domain of a function is the set of  all possible inputs for the function where the function is…

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: 3. Explain the difference between reciprocals of trigonometric functions and inverses of…

A: Given,  We have to explain the difference between reciprocal of trigonometric functions and inverses…

Q: What are the inputs and outputs of an inverse trigonometric function?

A: Firstly we need to understand what is the input and output for a trig functions and then for inverse…

Q: Q3/ Discuss the effect of (inverse) on the trigonometric function with two examples ?

A: To write the effect of inverse on trigonometric functions

Q: Graph the pair of functions y = tan-1 x and y = -2 tan-1 x in the same viewing rectangle. Use your…

A: To plot  y = tan-1 x and y = -2 tan-1 x in a same rectangle.  And to comment on the relation of the…

Q: By using the relationship between the hyperbolic sine function and its Ssinh- (x)] = V. inverse,…

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Q: How do i categorize sin^2x and cos^2x as an odd or even function

A: A function is "even" when: f(-x) = f(x) for all x A function is "odd" when: f(-x) = -f(x) for all x

Q: A trigonometric function has an __________ function only when its domain is restricted.

A: Given :A trigonometric function has an _____ function only when its restricted

Q: Define the Arcsine and Arccosine Functions?

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Q: Explain why, without restrictions, no trigonometric function has an inverse function.

A: Since trigonometric functions are periodic, Each range value is within the limitless domain value.

Q: Find the equation of the tangent line of the inverse sin function at the point (1/2,pi/6)

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Q: 5. Use an inverse trigonometric function to write 0 as a function of x. x +2

A: Here given figure is : It is a right angle triangle where angle is given as θ And…

Q: (1- sinx)( 1 + cosx, sin°x. cos x

A: To find the n equivalent of the given function

Q: Consider the function f (x) = tan(x) and remember sin(x) cos(x) that tan(x) What is the domain of f?

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Q: What are the remaining 5 trigonometry functions sim theta =1?

A: Given query is to find the remaining trigonometric functions.

Q: cos(sin−1(x) − tan−1(y))

A: Important points:  cos(A + B) = cos A. cos B - sin A. sin B sin(sin-1x) = xcos(cos-1x) =…

Q: Since the functions y cos(x) and y -1 = cos are inverse functions, explain why COS (cos(-)) is not…

A: use the range of arc cosx to find the values

Q: 0, Select the inverse Trig function whose range is O arc cos X O arc cot x O arc sin x arc tan x O…

A: This question is related to trignometry, We will solve it using given information.

Q: Let f(x) = 6 sin (a*) f'(x) = NOTE: The webwork system will accept arcsin(x) or sin-(x) as the…

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Q: Why are different intervals used when restricting the domains of the sine and cosine functions in…

A: Why are different intervals used when restricting the domains ofthe sine and cosine functions in the…

Q: Discuss the effect of (inverse) on the trigonometric function with two examples?

A: Consider the function fx=sinx the domain is all real numbers and the range is -1,1. If gx=f-1x then…

Q: What is the range of 3 sin(4x + II)+ 2 ? O -3, 2] O (-3, 3] O -1, 5] O (-1, 3]

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Q: Summarize the Derivatives of the inverse trigonometric functions?

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: sec?(x) tan(y) 1 – tan(x) tan(y)

A: Firstly, simplify the expression using the below trigonometric identity. sec2x-tan2x=1sec2x=1+tan2x…

Q: How are the inverse trigonometric functions defined? How can you sometimes use right triangles to…

A: Inverse trigonometric function:It is defined as that the anti or arcus function of the function is…

Q: Find a formula for tan(arcsinx), for |x| < 1-

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Q: Q3/ Discuss the effect of (inverse) on the trigonometric function with an examples ?

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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: Find the Cartesian equation of the image of the line x = 2 under the mappingz → sin(z). Sketch…

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Q: Since the function y=cosx and y = cosx are inverse functions, why is cos cos not equal to 2 Explain…

A: cos(-x) = cos x

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: Give an example of an angle 0 such that cos- 1(cos 0) # 0 . Does this contradict the definition of…

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Q: Identify the trigonometric function from the graph. 2 a) f(x) = 2sinx b)f(x) = 2+ sinx c) f(x) = 2+…

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Q: Determine which inverse trigonometric function g has the derivative g' (x) = VI- (Use symbolic…

A: For the solution follow the next step.

Q: Summarize how the derivatives of inverse trigonometric functions are related to the derivatives of…

A: dsin-1xdx=11-x2dcos-1xdx=-11-x2dtan-1xdx=11+x2dcot-1xdx=-11+x2dsec-1xdx=1xx2-1dcsc-1xdx=-1xx2-1

Q: Describe the Arcsine and Arccosine Functions?

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

Q: Graph ƒ(x) = (sin x)sin x over [0, 3π]. Explain what you see.

A: GRAPH ƒ(x) = (sin x)sin x over [0, 3π]

Q: Use inverse functions where needed to find all solutions of the equation in the interval [0,27).…

A: We have find the solution of given trigonometric function

Q: () 3. Simplify the expression tan (arcsin V4- t2 (b) V4 + t2 (c) Vt2 + 4 V4 – t2 (d) - t (e) Vt2 +4

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Q: Discuss the effect of (inverse) on the trigonometric function with two examples ?

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Q: The inverse cosine function has a domain of [-1,1] and a range of [0,- ]. The inverse tangent…

A: Given the data

Q: State Derivatives of Inverse Trigonometric Functions ?

A: We have six trigonometry function, sinx, cosx, tanx, cotx, secx, cscx Inverse trigonometry function,…

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: x² – 1 dx

A: Given: ∫x2-1x4dx To find: Use trigonometric substitution to integrate above function.

Q: Identify the trigonometric function from the graph. -1 -2 a) ` f(x) = 2sinx b)f(x) = 2+ sinx c) f(x)…

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Q: 2./sec xtan?xdx

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Q: sec (20) y = 1ttan(20)

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