cos x-2 cos 3x + cos 5x b. cos x +2 cos 3x + cos 5x :-tan x. %3D

Q: (cos(4x))^2=___+____cos=(___x)

A: By double angle formula , we have By taking A=4x, we get

Q: 3. cos x +sin x- cos(2x) sin(2x), cos(3x), 4 8. ...

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Q: 3 sin x + 4 cos x +5**

A:

Q: · y = sin(cos 3x) – sin x cos 3x

A: Given : Y = sin(cos3x) - sinx.cos3x Let's differentiate:

Q: tan3x)dx tan Evaluate: cos23x A - In|sec (tan3x)|+C - In|cos (tan3x)| +C B © In cos(tan3x)| +C in…

A:

Q: 2 cos^2 x-sin x -1=0

A: 2cos2x-sinx-1=0⇒1-sinx-2sin2x=0⇒sinx=-1, sinx=12⇒x=3π2+2πn, x=π6+2πn, x=5π6+2πn

Q: gral. cos 7x cos 4x dx ㅇ응 cos 3x + 숲 cos 11x + C ㅇ sin 3x + sin 11x+C 1 sin 3x - sin 11x +C

A:

Q: cos 2x–1 lim COS х— 1 cos x-1

A: limx→0cos 2x-1cosx-1

Q: COS X 1. S 7+cos 2x

A:

Q: cos.2x 25. cos.x - sinx A sinx 3-.cos x + sinx C 2:cosx + sinx A - cos.x :D D cosx -2-sinx

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Q: b) (cosx+ Sinx)² - Cos x+sinx)(cosx-Sinac) tan 2x 2. c) 1-Cos-x - Sin2oc) Sin X - 2cos x

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Q: 2sin x -1 y = cosx +2

A: Basic identities of trigonometry and differentiation are used

Q: 2ct-3) cos Cも-3) yct) = sin 2t cos 3t

A:

Q: 2dx 2 2 cos x√ 4tanx - tan x S-

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Q: Solve: cos x ta² x = 3 cos x, 0sx< 27.

A: Given trigonometric equation is: cos x tan2 x=3 cos x ; 0≤x≤2π We have to solve this equation for x.

Q: y= sin(x + 4) cos (x - 4) y= sec 4x + tan 4x y= Arctan

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: symbolnc cos(6x) cos(11x) dx = cos(11) sin(6x) + C ncorrect

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Q: 7x cos()-7x [sin(-2x)sin(5x)sin(7x)] – lim 2x cos(x) lim x-0 5x?

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Q: 20. cos x 3 cos x -V2 cos x csc x; xe[0,2n]

A:

Q: cos 2x - 2 sin x- cosʻx=-3

A: Consider cos 2x-2 sin x-cos2 x=-3  . . . . . (1) We have cos 2x=2 cos2 x-1 . . . .  . . (2)

Q: 5. 4 (secx-1)(sec² x+secx+1) Sª cos² 2x-2 cos 2x+1 -dx

A: Indefinite integral is the process through which one can determine the function which on…

Q: cosx y = x 2 (sin -1 x) 3 y=ー cos X 6. 5.

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Q: cos? (x) 5 x²e* 6 V1 – x³ 4 - ex 7 sinh(x) 8 x² arctan(x) 9 1- X

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Q: ( (cos(2r) – sin(2x)cos(2x)) -dx =. For +C. What is F (x)? cos(x) – sin(x)

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Q: 2x-5 4. f(x) = x2+4x-5 sin x 5. f(x) = cos x

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Q: cos(2x)– cosx sin x 4. lim, »o

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Q: 9. Solve the equation for x if 0 < x < 27. 2 cos x + tan x - sec x = 0 VI

A: The correct option is option A. Use the trigonometric ratios and identities to rearrange the given…

Q: ex-e2 1. lim x→2 x-2 x2 2. lim X0 sin 5x2 3. lim 5 cos 3x2-5 sin 8x2

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Q: 2. f(x) = -7 tanx 3. y = 2 cscx 4. y= 4x cos x

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Q: cos(x) + s(3x)+ 25 cos(5x)+..) 4 Ans. + sin(x)- sin(2x)+ sin(3x)– ...

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Q: 1 -x2 + 6x dx = 10 - A In |-x2 + 6x - 10| + C -tan-1(x – 3) + C C -tan-1 (x + 3)+ C D tan-1(x – 3) +…

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Q: 1. sin x sin 2x + cos x cos 2x = COS X

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Q: 2 cos x+3 cos x=2 2 Cos²,

A: Given,   2 cos2x+3 cos x=2

Q: 9. y = -sin (3x) 10. y = tan (x - 60) 11. y = cos (x + 30) 12. y = 3 cos (2x)

A: In both cases there is translation of graph.

Q: اثبت صحة المتطابقة التالية Cos(2x) = 2Cos²(x) – 1

A: We know that . Cos(2x) = Cos2(x) - Sin2(x) .............(*)

Q: Cos (GX) = Cos 15°, 0°<x < 360° Со X) = Cos 15°, O° < x < 360° %3D Tan( x ) = tan,05x < 2n )= tan,

A: We can find the answers as below

Q: 2 tan(2x) − 4 cos(x) = 0

A: Explanation of the solution is given below.... And solve the given equation.....

Q: 2) + (2x tan-" y – x³)(1+ y²) = 0 Ans: tan-y=(x² + 1) + ce-*²

A: Bernoulli differential equation in the form of: dydx+k(x) y=q(x) yn 1yndydx+k(x)×1yn-1=q(x)…

Q: cos 2x cos.x+ sin x xp-

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Q: (cos(2x) – sin(2x) cos(2x)) cos(x) – sin(x) For -dx%3D +C. What is F (x)?

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Q: 2. cos(4x) = 1 – 8(sin(x))²(cos(x))²

A:

Q: 3e" - 2 sec x tan x + cos x - 3 dx 1+x?

A: Given:

Q: √x(y)²-(√x cos √x - sec √x)y'=1

A:

Q: COS X+ 3sin 2X

A: It is given that y''+y=cosx+3sin2x. We have to find the general solution of the given…

Q: tan( tan3x) dx Evaluate: cos²3x A - In|sec ( tan3x)|+C 3 B -In|cos( tan3x)|+C В 3 © In|cos(…

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Q: sec(x)cos(3x)=0 from [-pi/2, pi,2]

A: sec x cos 3x=0          [-π/2,π/2] sec x (4 cos3x - 3 cos x) = 0 [cos 3x= 4 cos3x - 3 cos x] 4 sec x…

Q: 15. f(x)= sin 3x 17. f(x)= tan 2.x 19. f(x)= 3 cos (x – 7/2) -

A: 15) For sin(3x) the range of the function will  be the same as sin(x) just the period, in this case,…

Q: (cos(3x+ 1))² lim 7+ 4x

A: our objective is to find the limit