2. Prove each of the following using identities, showing all work in the process. a. cos (x +) +sin (x – ) = 0 b. cos (x) – sin(x) = cos(2x) - 4 4 - 1+sin(2x) С. = 1+5 sec x csc x sin(2x)

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A: Here I am attaching image so that you understand each and every step.

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A: Since you have posted multiple questions i can do first question as per our company guidelines…

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A: The solution is given as

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Q: 3. S(5 cos x +4 sin x) dx

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Q: 2. Prove each of the following using identities, showing all work in the process. a. cos(x + ) +…

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Q: 2.Expand the following in powers of x i)√(1 + sinx) ii)e cosx iii) cos x²+

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Q: 1) Using the formula: cos(x + y) = cos x cos y - sin x sin y, prove in steps that: cos? x = 1+cos 2…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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Q: 2- Find the Root of the function F(x) = e*(3.2 sin(x) - 0.5 cos(x)) Using XL=3 , X,=4 , Ɛs= 0.002

A: This is to be solved by successive bisection method.

Q: Which of the following is equal to f(x)dx where S(x) =- sin(x) if 0<x< a/2 l cos(x) if 1/2<x<a } -2

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A: .1. ʃ (u.v)dx= u ʃv.dx - ʃ(d/dx(u) . ʃv.dx)dx       Where u and v are function of x 2. ʃ sin(ax) dx=…

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A: We will find out the required values.

Q: -1 -2<x< - 1 0 -1<x<1 1<x<2 nswer: f(x) = a + Tin COS ... COS n=1 sin T²n² O sin () COS

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Q: given f (x) = 3/5 cos (6x), what is the largest possible value for f (x)?

A: Given query is to find the largest possible value of the function.

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Q: Consider finding the root of f(x) = e*(3.2 sin(x) - 0.5 cos(x)) on the interval [3, 4], this time…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

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Q: х If f(x) = cos(1? + 1) dt, then find f'(x). %3D Select one: O A. None of the others O B. sin(x + 1)…

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Q: 1. Evaluate the following: 3 sin z la. Give the equation of the tangent line to the graph of at the…

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Q: How do you solve this and can you show me step by step?

A: Simplify the equation to get a quadratic in cos x.