What constant values must B and C have for the following to be true? 3 sin(2t + t/4) = B sin(t) + C cos(3t)

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A: As given expressions and intervals is 0≤θ&lt;2π a)  3cosθ+3=2sin2θ 3cosθ+3-2sin2θ=0 Consider…

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Q: What are the two values of k closest to 1 - 4 for which S sin? (x +4) – cos² (x + 4) dæ has a value…

A: The solution is given in the next step.

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A: Topic:- integration

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A: a) The given equation is, 2sin2θ-sinθ-1=02sinθ+1sinθ-1=0sinθ=1⇒θ=4n+1π2, where…

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A: Given functions are fx=sinx+a and gx=bsinx+c cosx. We have to find values of b and c for given…

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A: Recall: ∫cosax dx=sinaxa+C

Q: 1. Determine the value of cos(2x+2y) if sin z 3 and tan y = - for 4 sysa. for 0sxs: VI VI

A: Given : sin x = 3/5 and tan y = -3/4

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A: Given equation is Squaring both sides, we get

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Q: If sin x = siny = a and cosx = cosy = b, then cos(x-y) is Select one: O a. z2 + a² O b. 2b + 2a O C.…

A: Given  sin x = sin y = acos x = cos y = b Use cos (x-y) formula cos(x-y)=cosx cos y + sinx sinysin…

Q: 22. If y = (1- sin?x)i then y" is b. 1 COS X 2° а. C. - cos x d. -sin x sin x HIN HIN

A: The second derivative of the given function is solved in detail below.

Q: 21. The general solution of 2 cos2 x – sin a -2 =0 is of the form x = An, b + 2nn, +2rn, n EI. The…

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Q: = -1, find the value of can 0-1 sin 0 – 3cos e sin 0 + cos 0

A: Given thattanθtanθ-1=-1Sotanθ=-1(tanθ-1)tanθ=-tanθ+12tanθ=1tanθ=12

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Q: 1. Compute 2x ecos cos sin 2.x dx e. Compute CT/4 sin* 2x cos 2x dx

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Q: 11. Which is a conditional equation? A. sin x cos x = 1 C. sin? x + cos² x = 1 %3D B. Vsin? x + cos?…

A: As per our guidelines we are supposed to answer only one question

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Q: 3) Solve S(4cos? x+4 sin? x)dx

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Q: Question in image.

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Q: 2. Eliminate all the arbitrary constants in the equation as follows: y = Ae2x – e-5* (B cos 2x + C…

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A: Given: 22tanθ-secθsin2θ=0, θ∈0, 2π

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A: Solving trigonometric equation in general form to get desired result.

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A: We change it into first order linear equation and then solve.

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A: 1. According to question,Given equation,sin 2x = 23,x∈0, 2π

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Q: 2. If x = 2 sec 0 and 0<0< T/2, then %3D (a) sin 0 = (b) cos 0 (c) tan 0 =

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Q: 10. If y = sin 2x + cos 2x, then (yn)o is equal to nn a) (-1)"2" b) 2" c) sin+ cos d) None of these

A: The solution is given as

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Q: Find the exact value. 13t 13л . 17т 17T Cos 18 sin + cos sin 18 18 18 V3 A) – B) 0 V2 D) C) 1/2

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Q: Solve the following equations: 3cos(x)+1=cos(x)3cos⁡(x)+1=cos⁡(x), where x is in the interval…

A: 1. Given equation can be written as Now, value of cosine of an angle is negative in second and…

Q: Solve for x where 0 <x < 2n. a) cos (a + ] V2 sin æ b) 5 cos? x – 13 sin x +1 = 0

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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 = %3D…

A: Note - Since you have posted multiple questions, I am answering first one for you as per the…

Q: e20 A cos 20 + i sin 20 B (cos e +i sin 0) (cos 0 – i sin 6) B D cos 20 - i sin 20 2.

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Q: 1 Find sin given that sin x = 2' and 0<x<5. 4 V8+2/15 O A. 4 O B. 4 10 OC. 4 18-2/15 O D. 4

A: It is given that and