Sin(3E)coSE- SinB LOSE Los t t

Q: sec z- tan zr sin a sec a

A: To verify the identity:- sec x - tan x . sin x = 1sec x

Q: cos(x+y)-cot y-tanx 13. Cosx- sin y

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Q: llowing: [Ln(3+j5)]sin(-2-j)

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Q: sin xcos* xdx х cos

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Q: sin r - cos z 2. 1+ sin(2r)

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Q: sin x .2 3 + Cos X

A: Given: ∫sinx3+cos2xdx

Q: sin' xcos' xdx х со

A: First of all, use the identity of trigonometry that is cos2x=1-sin2x in the given integral and…

Q: sin 0 cos Od0 -u'du FC = - 1 cos“ 0 + C 19.

A:

Q: g(x) = 4ecoN " sin x, (0, ] COS

A: Given data:   The given function is: g(x)=4ecosxsinx The given interval is: [a,b]=[0,π].   The…

Q: bn= 는 Sin nT x dx ans=t- Excose LOS UTT sin

A: I have simplify and done step by step in detail...now hopefully you will get it.....go through the…

Q: sin' xcos* x dx x cos

A: Perform integration

Q: cos (2x) dx sinx+cosx COS Evaluate:

A: the given integral is: ∫cos(2x)sinx+cosxdx we have to evaluate the given integral.

Q: s Sinx Cosy 1-Sin" x elx

A: To evaluate the given integral.∫sin x cos x 1-sin4 x dx

Q: cos Z (csc Z - sec 2) = cot Z

A: Our Aim is to prove the identity given below:-cos z (cosec z - sec z)= cot z-1 -(i)

Q: cos sin + cos -1 x=0 %3D

A: Solve by trigonometry

Q: cos-") sin ()dt 3 COS

A:

Q: sin (z+ in terms of sin(x) and cos(r). 4 Rewrite sin + -

A: Topic = Trigonometry

Q: sin t - dt = 1 t

A: If f(x) =∫0xsinttdt  =∫0x1t.sint dt Using integration by parts ∫f(t)g(t)dt…

Q: sin (3+ j4) cot (6h)

A: 1.  Consider sin3+j4. We know that sina+jb=sinacoshb+jcosasinhb, therefore:…

Q: sin'xcos* x d xcos X

A:

Q: Sin (Cos8X) Find dy

A: Given,           y=sincos8x

Q: Sin 2x- Cos 2.x Sinh (u-v) = Sinh u.Cosh v - Cosh u.Sinh v %3D

A: See the attachment

Q: sin x dx 1-2 cos x

A:

Q: ((/sin3z – cos2zV sin3z + cos2z bz

A: The objective is to solve the integration ∫sin3z-cos2zsin3z+cos2zdz Now,…

Q: cos x х dx /sin x COS

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Q: SinA (1+cos A) = 2cosecA (+cos A) sin A

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Q: sin(x) Evaluate dx. cos (x) – cos(x) – 2 |

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Q: | cos xV 1 + cos x dx, -ㅠ <xSㅠ.

A: Given:   By part formula of integration: Here,  and and

Q: sin x = cos x – 1

A: 1 - cos x = 2 sin2 x/2   sinx = 2 sin x/2 coxs x/2

Q: sin 4t sin 2t dt

A: To evaluate the given integral.

Q: 3 sin x y = [cot-1(품

A: Explanation of the answer is as follows

Q: 9) y * = sin-1 x

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

Q: Find

A:

Q: sin- x - y· dx + (tan-(yx-1))xdy = 0 cos-12

A: The given differential equation is x-ysin-1yxcos -1yxdx+(tan-1(yx-1))xdy=0. Simplify to obtain the…

Q: cos x 1) sin'x

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

Q: fy=sin-¹ find Zy

A:

Q: sinx-1 10. Find cos x if --1. cosx a. -1 b. 2 с. 1 d. 0

A: Given: sin2 x-1cos x=-1

Q: sin x.cos x 1+ 2.In x

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Q: sin x 6. Evaluate dx. 3 cos x

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Q: Sin t/ 1+ cos t = 1-cos t/ sin t

A: The given equation to prove is: sint1+cost=1-costsint Use the trigonometric identity, 1-cos2t=sin2t

Q: sin e, sine cose cose 1 tan 2 0 O2 cot 0 2 tan 0

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Q: sin -2 sin y

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Q: (sin a – cos x) (sin x + cos x)°

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Q: sin I 7. Determine the end behavior of f(r) =

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Q: cos (x+ y) cos (x-y) cos2 x- sin2 y

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Q: I sin x cos x √sin x + 1

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Q: I+ Sin X COSX 32see* COS X + Sin X

A: This problem can be solved by simplification through trigonometric identities.

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.