sin 2x 10. Simplify 1-cos x (a) 2cot x (1+ cos x) (b) sin 2x (1 + cos x) (c) sin 2x (d) – 2 tan x (1 + cos x) (e) none of these

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

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Q: 4. cos*x Evaluate: sin' x( sin' 3/5 x+ cos³ x 3.

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Q: sin(2r) dr 9- cos (2.x)

A: Integrate

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: 5. tan (x)dx 1 -dx cos² (x) sin () 6.

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Q: Verify the identity:

A: Our Aim is to verify the identity given below:-sin 3π2-x=-cos (x)  -(i)

Q: 2 tan x sin 2x 6.) 1+tan² x

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Q: sin(3x) cos(6x) – cos(3x) sin(6x) = -0.6 X =

A: There is trigonometric identity sinA-B= sinAcosB-cosAsinB

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: cos 2x + 2 sin 2 x = _______

A: This question can be solved by applying the formula of cos2x cos2x=cos2x-sin2x

Q: 4. Find the exact value of cos *x- sin "x-cos (2x). 4 cos x- sinx- cos (2x) = (Simplify your…

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Q: cos x csc3 x + C sin4 x 1.

A: To evaluate the given integral.

Q: 1 1+ cos x 9. 1- cos x || sin? |

A: We can verify the statement as below.

Q: Cos 2x cos X-sin 2x sin x=radical 3/2. Use 0

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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: sin x cos" п — 1 n 2 2, | co cos"-2 x d.x Show that for cos" x dx Use this to find cos4. x dx.

A: Given, ∫cos4xdx

Q: -sin^2(x)=cos(2x) from [-pi, pi]

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Q: Find y': COS X y = 1-sin x O y' = sin² -sin x-cos² x (1-sin x)²

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Q: 21. cos x cos 2x + sin x sin 2x

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Q: 3 3 | sin sin x cos xdx 5

A: It is integration problem.

Q: 1) y = x3 + sin x² + sin-1 5x 2) y = 32x + In (sin x²) + In(sin¯' 5x)

A: some functions are given , we have to find its derivative

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: sinx dx cos³x (1 – sec*x)3 A)를 (1-sectx)-4 +C B)를 In(1 sec*x)3 + C c)금 (1-sec+x)-2 + C D)름…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 11) cos x csc X tan x - 1 11) 12) cos2x - sin2x = 1 - 2 sin²x 12)

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Q: 3x2 sin(x³) Select one: а. In/tan x3 + cot x³| + c b. -In csc x3 + cot x³| +c С. с. In|sec x3 +tan…

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Q: 1 sin x + 2 cos x + 3

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Q: sin2x -dp- cos x+cos*x-2cos?x

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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: 5) f(x) = tan [In{sin(15x - 30)}] %3D

A: For this problem we have to apply derivation to each term.

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

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

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Q: xy2-cos x sin x y' = ху?-со -cOs x sin У(1-x?)

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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: 3) (sinx + cos x)² = sin 2x + 1 COS %3D

A: We have to prove that  (Sinx+cosx)^2=sin(2x)+1

Q: cos x – 1.75 = -1 COS X sin(4x) = 2 – sin 4x 4 tan(2x) – 1 = 3

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Q: 2 sin'x - cos x sin'x - (1 - sin'x) in*s) Rule ? %3D sin°x - 1 + sin´x Rule ? %3D = 2 sinx - 1 Rule…

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Q: | cos(x) (8 + 4 sin²(x)) dx

A: Given Data: Integral Expression: ∫cosx8+4sin2xdx   Let, sinx=u Differentiate above equation.…

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

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Q: cos² 6x + sin 6x – sin³ 6x)ždx (Hint: factor out sin 6x first)

A: ∫cos26x+sin6x-sin36x12 dx=∫cos26x+sin6x1-sin26x12 dx=∫cos26x+sin6xcos26x12 dx…

Q: 5. sin 2 x=cos X

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Q: cos 2x 17. cos x-sin x

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

Q: 3) f(x) = cos (tan³(sin (x³))) %3D

A: Given, f(x)=cos5tan3sin2x5 now we apply chain rule to derivate ddxf(x)=ddxcos5tan3sin2x5

Q: Solve over the interval [0,2pi)

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Q: Find sin (x/2) cos(x/2) tan(x/2)

A: Given information is :

Q: sin(3x)cos(3x) sin(2x) 의[cos(2x)-1]+ +C 12 8 4

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Q: 3.Sinx sec a +2 Sinto Sinx(Secxt2)=0 sinx=D0 भा 2TT Seci=-ス 4Sin3x -sinx CoS X → Sinx(Sin?x -=Sin?x.…

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