write the equation of the sine function given:  amplitude=3, period=Pi, phase shift=-4 a)     y=3sin(x+4) b)     y=sin(3x-4) c)     y=3sin[(1/2)x-8) d)    y=3sin(2x+8)

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A: Use the trigonometric identities and simplify.

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Q: Find a sine equation having the following characteristics: Amplitude = 2 Period = 5 Horizontal Shift…

A: We have to find

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A: Given that we need to find the equation of sine function whose  Amplitude = 19 Period = 4…

Q: The suitable substitution to evaluate sin24(x + 2) dx is

A: Proceed as shown below...

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A: Use sin2x=2sinxcosx and sin(-x) =-sinx

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A: the given expression is sinθ=-22 0≤θ&lt;2π

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Q: How do you convert the given cosine to the given sine function in the attached image?

A: To convert cosine in y=6 cos π7t  to y=6sinπ7t+72.

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Q: 15.) у" + у%3D хе* sin 2x

A: Given differential equation is  y''+y=xexsin2x

Q: Write the equation of a sine function that has the given characteristics. Amplitude: 3 and Period:…

A: A sine function has Amplitude: 3 and Period:π

Q: write an equation of a sine function that has the given characteristics.

A: If y=AsinBx-C+D       ...(1) Then Amplitude: A Period: 2πB Phase Shift: C Vertical shift: D

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Q: Find the exact value of:

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Q: Write the equation of a sine function with Amplitude = 2 and Period = 8T.

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Q: 24. Find all general radian solutions: sin(2x+t)=--

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A: To find: The value of x. Given: The equation sin-84°=cos x. Concept used: sin-θ=-sin θ sin3π2-x=-cos…

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A: Given, cos θ =12 θ =cos-112

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Q: If y= sin-1 x, then y can terminate in quadrant ____ or ____.

A: Given: y=sin-1x We know that range of sin-1x is -π2,π2 So, y lies in either first quadrant or fourth…

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A: Consider the unit circle given below :

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