Define the Inverse Sine Function

Q: Choose the possibilities of a by clicking. sine = 13 %3D

A: Given ratio, sinθ=513

Q: Write sin 2x - sin 5x as a product of trigonometric functions.

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Q: Verify the identity. cos²t sint =csct- sint

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

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Q: Explain tan theta in terms of sin theta

A: Express tanθ in terms of sinθ.

Q: Develop properties of the six inverse trigonometric functions.

A: To Develop: properties of the six inverse trigonometric functions.

Q: Give the  examples of several inverse trigonometric functions?.

A: I will give one example for each trigonometric function and how to get the inverse trigonometric…

Q: the reduct Sinx cosx G

A: Evaluate reduction formula for, ∫sinpxcosqxdx

Q: Use an inverse trigonometric function to write 0 as a function of x. 3

A: To express angle in terms of inverse trigonometric ratio.

Q: Rewrite in terms of sine and cosine functions: tan 0 • csc 0.

A: Given expression is tanθ·cscθ. To rewrite in terms of sine and cosine functions. Solution: We know…

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: Determine the principal value of cos

A: The range of principal value of arc cos is [0,pi].

Q: Use the definition of the hyperbolic sine to show that sinh x is an odd function.

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Q: Draw the sine function in graph form

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

Q: Write the Inverse Function–Inverse Cofunction Identities?

A: According to the question, we have to write the inverse function- inverse co -function identities.…

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: Find sin(-theta)

A: Given,     sin θ  = -18

Q: Why would a sine function be used to model the number of daylight hours?

A: We have to explain why a sine function is used to model the number of daylight hours.

Q: Cosecant is the reciprocal function for the Sine function. True False

A: Use the following formulae, to define the trigonometric function.…

Q: Coso 1-Sine SinG

A: Using indentity  (a+b) (a-b) =a^2-b^2

Q: (a) Find the greatest and smallest values of 3-5 sinx.

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Q: 6

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

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.

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

A: We need to use an inverse trigonometric function to write θ as a function of x.

Q: Determine the amplitude of the sine graph. 2.0x -1.0+ 312 O A. 2 о В. О о С. -1

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

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Q: Use an inverse trigonometric function to write 0 as a function of x. 8 X+2

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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: sinr 1. Show that

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

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Q: Find the exact value of an inverse trigonometric function.

A: Given: To find the exact value of an inverse trigonometric…

Q: Write sin(4x)-sin(5x) as a product of trigonometric functions.

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Q: Write cos* x as an expression in the first power of cosine

A: Given,                    cos4x=?

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: Write both the sum and the difference formulas for sine.

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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: 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: Write tan theta in terms of sin theta.

A: To write tanθ in terms of sinθ, use the following identities. cosθ=1-sin2θtanθ=sinθcosθ

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…

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Q: TC - The inverse sine function can have values less than

A: It is known that the range of the function fx will be the domain of the function f-1x. The values of…

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 the expression in terms of sine and​ cosine, and then simplify so that no quotients appear in…

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

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Q: Write a sine function that has a midline of 3, an amplitude of 4 and a period of .

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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.