Define the Arcsine and Arccosine Functions?

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: Determine an equation for the sinusoidal function below. 3 1

A: From the given graph amplitude of the signal is A=2 Time Period T=7*pi-pi=6*pi y=0 axis is shifted…

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: Use a calculator to approximate the value. Round your answer to two decimal places.

A: arcsin-0.39

Q: A sinusoidal function can be differentiated only if the independent variable is measured in degrees.

A: We have to check A sinusoidal function can be differentiated only if the independent variable is…

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

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

Q: Differentiate: arcsin arccos () = 1

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Q: What is tan

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Q: Write the formula forGeneral Sine Curves?

A: The formula for general sine curve is y = a sin [b(x - c)] +d

Q: cos(Arcsin- 3 Tm

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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: Define the Inverse Sine Function

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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 the knowledge of the Mean Value Theorem to prove the trigonometric identity x – 1 arcsin 2…

A: In order to prove the identity, we need to consider a function and by using mean value theorem we…

Q: Determine &[tance) dx

A: differentiate the following

Q: Evaluate Sinit x dx

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Q: Find the exact value tan(arccos 1/5 - arcsin 3/5)

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Q: graph for the function arctan(x).

A: f(x)=tan-1(x)

Q: What is a periodic function? Why are the sine and cosine functions periodic?

A: Periodic function is a function which repeats its value after a regular interval. If fx+T=fx then…

Q: Sketch a graph of y = -3 on [1, 5] and use geometry to find theexact value of function given

A: we know that graph of y=-3 in given interval is parallel to x-axis which can be drawn as below

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

A: See the details solution in below

Q: Find the exact value of the expression whenever it is defined.arcsin 0

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Q: What is the amplitude and period of the function shown below?

A: To find: Amplitude and period of a given sinusoidal function.

Q: Sin COSX

A: solve the following

Q: Determine whether a tangent line is shown in each diagram. Type out your work/Explain 3V3 9. 3.

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Q: Find MLE for theta

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Q: Define the term oscillations of a sine curve?

A: We have to define the term oscillation of the sine curve. We know the graph of sine,

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: Describe the Identities Involving Arcsine and Arccosine?

A: we have to describe the identities involving arc sine and arc cosine.

Q: Define harmonic function.

A: Harmonic Function:

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: Find the exact value of the expression whenever it is defined.

A: We have the give expression as sin-122 As we know that, sin-1sinθ=θ   if θ∈-π2,π2

Q: The graph of the sine function illustrates how the ____________ of a point on the unitcircle varies…

A: Given  The graph of the sine function illustrates how the ____________ of a point on the unit circle…

Q: Convert the following cotangent equation into a tangent equation. Explain your work. cot(x-pi/4)

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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: Describe the meaning of arccos x in your own words.

A: Query- Describe the meaning of arccos x in your own words. Answer- The arccosine of x is defined as…

Q: Calculate arcsin 0, arcsin 1, arccos V3 arctan 1, arccot(V3) 2

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Q: If arcsin x=0, then the value of x is?

A: Given: sin-1x=0 we know that  sin-1x is zero at x=0

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

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Q: Define the Identities Involving Arcsine and Arccosine?

A: Identities Involving Arcsine and Arccosine functions are, sin-11x=csc-1x,  x≥1  or…

Q: The simplified value of * tan + cot|

A: tanθ2+cotθ2

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: The inverse tangent can also be called arctan or the "arc tangent." O True O False

A: The inverse tangent is also called as arctan or the arc tangent.

Q: When does the graph of a trigonometric function oscillate very rapidly?

A: We know that as x approaches to zero, the function sin(1/x) oscillates infinitely or very rapidly.

Q: 7. What is the frequency of the tangent function represented in the graph below?

A: The tan function repeats itself after every 'π' radians.  Frequency is how many times the tan…

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

A: