5Tt/6 5 2 1 1 \ZTt/6 11T/6 4T/3 5T/3 + C 5 r =1+ cos 0 r = 1– cos 0 - find the commen area berween tham LO LO

Q: Evaluate the integral: f cos³x cos 3x dx

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Q: EX:what is L sin²t

A: First we have, sin2t=12×2sin2t       =121-cos2t Now L1=1s,Lcos2t=ss2+22=ss2+4 then we find Lsin2t

Q: tan e de (1+ In cos ele

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Q: What is the integrable form of sin-cos-sino de? 2

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Q: 2. Prove the following identity: sin (x+y)sin (x-y)=cos² y-cos²x X =COS - COS¯ x X.

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Q: Find the area outside the curver=3+2cose and inside the curve =3-3cose. A B C D M 4 A 2 5A 4 NY 2…

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Q: Show that π/2 [*¹2 J₁ (z cos 0)d0 = 1- cos z Z

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Q: 1. (1 cos 0) (1 + cos 0) (1 + cot²0) = 1

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Q: can you please check my work im not sure if i got the symbols right (the negative and positive…

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Q: (a) Evaluate the integral using the substitution u = In (5x). x In (5x) dx x In (5x) ? Edit +C (b)…

A: An integral in some cases can be simplified using a substitution. For example ∫ln(x)xdx with the…

Q: sin o dB - (sin 20 +B cos o) dộ = 0 O B = csc o (n sin o+ c) O 2B = sin o (In sin o + c) O B = sin o…

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Q: Use sutegrotion by ports to find the indefinite Sx X COS xp(7)

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Q: Find wronksian is w ( cos x,sin x)

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Q: |12 sin(4x) cot(cos(4x)) dx

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Q: 2 4. sin

A: 4.  let, x=sin-122x=sin-1222x=sin-112sinx=12sinx=sinπ4

Q: use demoirvre's Theorem of powers z= Square root 2 (cos 5 pi/24 +i sin 5 pi/24)

A: Given : z=2cos5π24+isin5π24 de moivre's theorem: If z=rcosθ+isinθ then zn=rncosnθ+isinnθ.

Q: Cos (2 on36)

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: ∫0pi cos2t*cos4t dt

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Q: how 300/sin(120+Θ) become 300/cos(30+Θ)?

A: Topic:- trigonometry

Q: 5. If X any Y are sets, then X-Y= {r€ X: 1¢Y} If X is open set and Y is closed set. Prove that (a)…

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Q: 9. (6 points) Verify the following identity. sin 0 cot 0 + csc 0 1+ Cos 0

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Q: Find area inside 3 - 3 cos 0 and outside r = 3 C

A: Introduction: The polar coordinate system is another coordinate system. In this system, a particle…

Q: Express as a sum.(sin ax)(cos bx)

A: Given : (sin ax)(cos bx)

Q: 19. Express sine in terms of cote. (1+cot2e) 1+cot2e (2+sin2e) A. sine- C. sine = 2+sin?e /1-…

A: Given; 19) express sin in cot. 20) equivalent expression of cos2x-sin2x.

Q: sin 0 d0 cos? 0 +5 cos 0 +6

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Q: Sin Liso 0-0J Sen Lisos tO) L1800 +0

A: Use the trigonometric identities as follows: sin 180°-θ=sin θsin 180°+θ=-sin θ