F.(3e-3 sin(2x')) is equal to 2 3. n 4+@² 3 cos 8 4 3. 7(1+o² 4 cos 4 4 1 3, 1 +4cos 4. 4 2 1+@ 4 cos 4

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A: NOTE: Refresh your page if you can't see any equations. . the left-hand side is  use the formula

Q: a² dq er f(q)

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 12 A A10. If B then the values of A& B =. %3D (x-2) (x+4) x-2x+4 A 2, – 2 b) -2, – 2 c) 2, 2 d) -2,…

A: Since you have posted multiple questions we will solve the first question for you. If you want any…

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Q: What is the exact value of 2sin(x/2) * cos(x/2) if sin of x = 3/5 and cos of x = 4/5 ?

A: To determine the exact value of the expression.

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A: Given,  c. sin4(t)-cos4(t)=2sin2(t)-1d. cot2(2y)+cos2(2y)+sin2(2y)=csc2(2y)

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A: The given integral is ∫cos3x dx. Let u=3x. Then du=3 dx.

Q: Find cos (z+2) dx. O-sin (x + 2) +C O sin (x4 + 2) +C O sin (x* + 2) +C sin (2* +2) +C

A: Let's find.

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Q: 5. Evaluate π/3 π/6 cos3 x sin−2 xdx.

A: 5.Solution…

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A: Given inverse trigonometric equation sin-1x - 2cos-122 = -π2                               ⇒sin-1x -…

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Q: If Z-1/v2+i/v2 then the value of conjugate of Z^5=?* O cos(3n/4) O 2sin(5n/4) O 2cos(5n/4) cos(5n/4)

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Q: 1. Calculate ln(-/2) and acos(2).

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Q: cos(x) = 1/2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Diff eqn. 25) y' + (tan x)y = cos x when -pi/2 < x < pi/2

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with  so here we have

Q: 10. Prove that 7/2 sin 8 cos (cos a cosec 0) de =- (1-cos a). CO TE/2-a

A: We will use the Differentiation under Integral sign method, to solve the problem.

Q: If sin(x+y) - - sinx + 뜰 conx, what is the value of y? O 0 이용 6

A: Topic = Trigonometry

Q: If sin 0= and is in QII, cos is equal to COS A 4/5 5/3 -4/5 D -5/3 B.

A: Given Sinθ=35We know sin2x+cos2x=1Upon substituting:cos x=1-sin2x        =1-(35)2

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Q: Evaluate f 3xV1 – 2x² dx A(1 – 2x*) + C B. (1 – 2x*) +c (1-2x²)³ D. +C 2 Evaluate S dx csc 2x-cot 2x…

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Q: IfT: R² R³ is a linear transformation such that -n the standard matrix of Tis 13 T([2])-[3] . and T…

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Q: Solve for x, x in [0, 2Tt). 4 sin 2 x - 4 sin x + 1 = 0

A: Given: 4 sin2x-4 sin x +1=0 , x in [0,2π).          (i) To find: x

Q: 4. sin (5x + 22) = cos (4x + 14). Find x.

A: Equation is given by                sin(5x+22)= cos(4x+14)   ---(1)       formula which is to be…

Q: Q2-4 * Amount Equal sin(2x) J (D²+D+l)° (5sin(2x)–12cos(2x)) (5sin(2x)–12 cos(2x)) (5sin(2x) +12…

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Q: 3. sin 3z cos 5z dr

A: Here we have to evaluate I=∫sin3xcos5xdx

Q: 6. Prove that: ah cos (i) A sin (ar + b) = 2 sin (ah sin a (ii) A cos (ar + b) = - 2 sin

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Q: the sum of sin h 2x and cos h 2x

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Q: (3) Find the coefficients of the half-range even (cosine), odd (sine) and periodic extensions…

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Q: dy Solve x cosy = 2x. (siny) – 1 dx O a. y = arcsin(- + cx²) O b. y = arcsin(; + cæ²) O c. y =…

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Q: 1) 2) 1 sinx.cosx dx 4 + sin?x dx VX (1– X) (x – 1) X^

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Q: 2. (a) Show that V3 cos x-sin x COS where 0<x<2r . 2 (b) Using the result in (a), solve the equation…

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Q: Using the result of the previous question, explain why 1 n sin" xdx = - sin"-2 xdx. n and hence show…

A: The given problem is to show the result of given integral with using the given integral result.