coth“(sin 3z) 12) Vi- dz /1– tanh² 3z

Q: (1+iV3)"+(1-i/3)" %3D 2n+1 Sin(- 3 2" Cos( ) 3. 2n+ Cos( 3. 2" Sin 3. (1-V3

A: Kindly go through the solution and let me know in case of any doubt or further clarification in the…

Q: sin 0 + In + 22+3 = -3 - cos 20 - In y? + 327-4 = + 2ln y+ 22 -3 1+ (cot 0)2

A: Given system is sinθ+ln1y+2z+3=-3 lny2+32z-4=1-cos2θ2 21+cotθ2+2lny+2z=-3

Q: 4 cot 0 sec 0 - sin 0 = O-4 4

A:

Q: 4. у %3D sec^0 - tan'ө

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Q: sinx = 5/13, x E 5,1], then cosx =?

A: We are solving the problem by the property of trigonometry ratio.

Q: c) cos x tan x = sin x tanx %3D (Usx.SinzL (os x Sinc sinx cot x + = csc x - CSC X 1+cos x (e Sinzx…

A:

Q: 5. y = tan- (a) 6. y = 4x sin (3x - 9) 7. y = sinh (4x – 1)

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Q: 2) sin- 0 4) cos 6) cos-1 | V3 8) tan 3 -1 -1 10) cos

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Q: lim, 0 tan² (7x) cot(11x) (r+7)sinx

A: Given: It is given that the limit is limx→0tan27xcot11xx+72sin x. To find: The main aim is to find…

Q: cos²x 6. 1+ sin x = 1- sinx tanx - сotx 7. sec'x - csc?x = sin xcosx 8.1 tin cos2x = cscx - secx…

A: We have to verify that the given trigonometric identity.

Q: 5. cot(2x)[2+csc(3x)] 0 x &R 6. tantx - tan2x=-V3(1+tan4xtan2x) xE[-n,"|

A: We have to find the solution in radian

Q: i) sin 0+tan 0 1+sec 0

A: Givensin θ+tan θ1+sec θTo findsimplify thegiven tignometric function

Q: Sec (Cosx) dydx 1- Sin

A:

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: a) cos 0 = , 0 is in Quad. I -5 b) sin 0 13' Ө is in Quad.IV X = ‚y = „r = 5 X = - y = „r = 13 tan 0…

A: This question is related to polar coordinates

Q: sin*[In()ax x{cos[

A: Given : ∫ sin3ln72x4dxxcosln72x4-1 Let us take  u= ln72x4⇒dudx= -4x⇒dx=-x4du Therefore, ∫…

Q: Sin(6x+16)=Cos(3x) Round answers to the nearest hundredth (2 decimal places). What does X = ?

A: We can find the value of x as below.

Q: BIN 2 sin² x cos x dx

A:

Q: 3. (6れ)-) ANCTAN X (x+1) ² -y=ARCTAN

A: To expand the given function :

Q: sin^2x(cot^2x+1)

A: Trigonometry

Q: 6. G) sec 4 tan .3. dx 3 (),

A: Consider the given integration ∫tan6x3sec4x3dx

Q: 10x 19) y Sin'(5x') (ans.: JI-25 x' 20) y= Cot ) (ans.: 1+ x' 6x' 21) y=tan'V4x'- 2 (ans.: (4x'-1…

A: As per guidelines we can only solve first question or first three subparts of the question, I am…

Q: Find sin cos 2 (3}))

A: We Have to solve above question

Q: 13. sec*0 sin 8 de

A:

Q: 4 sin 0-2 csc 0= 0 with 0 degrees

A: We use sin0=0 and csc0=1/sin0

Q: 4 Find sin 2x, cos 2x, and tan 2x if sin x = and x terminates in quadrant II. 5 sin 2x = S ? cos 2x…

A:

Q: 7- I = [sec(2x) tan(2.x)dx cos(2x) 8- I = dx 4-sin (2x) csc (In(x)) 9. I: dx

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Q: um point(s) for y=sin 2x- cos. d be in ovprossed in rodians

A:

Q: (8. e Sin y Ausi Sin 2

A: Solution is written in below steps.

Q: Find the points on the cardioid r = sin(2θ) where the tangent line is horizontal. Draw.

A: We have to draw the cardioid r=sin(2 theta)  And find the point where the tangent line is…

Q: 1+ cos x sin x 7. Verify: ¹ 11 csc x + cotx

A:

Q: sin 0 + In + 22+3 = -3 1- cos 20 In y? + 322 - 4 = + 2ln y + 22 =-3 1+ (cot 0)2

A: Given system is  sinθ+ln1y+2z+3=-3 lny2+32z-4=1-cos2θ2 21+cotθ2+2lny+2z=-3

Q: 3 [cot 0- sec 0- sin 0 O 1 -3 O 3 O 6

A:

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…

A:

Q: sin . sin . cos x d. cosz tan E tanz 214 14

A: Given that,

Q: 2 sin 0 + sin 2 0 =0 with 0degrees

A: To solve:2sin0+sin20=0

Q: tan² (x) sec¹(x) dx.

A: Given, ∫tan2(x)sec4(x)dx

Q: 4 cot x)sec& ) .

A: cotx = cosxsinx. secx = 1cosx csc x =1sinx

Q: 2. cos?(2x) – sin²(2x) = = Cos 4x

A: We have to proof

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: 1) B = cos 30 + sin² 0 tan 2x 2) y = 1-cot 2x 3) w = 2 csc(1 – 3x)

A: This question is taken from the derivative in which we have to find the derivative of the given…

Q: 2in Sin 3in lat Tin

A: The given figure is -

Q: (1+siny)[1+sin(-y)]=cos2y

A: Given:

Q: sin³ 4z cos° 4zdz

A: Here we have to integrate the given integral.

Q: [cos 20-i sin20cos 30+ i sin301² [cos 40+ i sin40 ]³[cos 20-i sin2015 using De Moivre's theorem?

A: We have to solve given Questions.

Q: QI\ Differentiate the following (choose two only) 1)2xsin-13x x+1 2)y = In- X-2 3)y = sin-12x

A:

Q: sin z = -isinh (iz) %3D ulgn

A: