arctan x + arc cot x 2

Q: 19. y = In(1 – x²), 0<x<}

A: Given y = ln(1-x2), 0≤x≤12 So, the length of the curve is given by  L=∫abf'x2+1  dx Here fx=ln1-x2…

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

A:

Q: sin'x+ tan?x + cos x = seck Gase seck (Sinx) (tanx t cotx)= secx

A:

Q: 1. lim cot x sinx X- x-nt cotx sinx

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Q: cot(5-0)+tan(0–) = 1– 2sin2 (0) 2 2) tan(-0)+cot(-0)

A: We will prove left hand side (l.h.s.) equal to right hand side

Q: sin x COS X 2. tan x %3D cot x = sin x + cos x

A: Given  The identity is sin xtan x+cos xcot x=sin x +cos x .

Q: sin 3x cot 4x lim cot 5x

A:

Q: sin(x)=−0.2cos(y)=0.4tan(z)=5.5 sin(−x)= 0.2cos(−y)= 0.4tan(−z)= -5.5 What does…

A:

Q: 띠/2 cot x Evaluate | dx cotx + /tanx

A:

Q: siny=x^2 Then find the value of tany

A: Given query is to find the value of tany.

Q: establish each identity.

A: Given, To establish each identity, cotθ1-tanθ+tanθ1-cotθ=1+tanθ+cotθ

Q: lim cot(z) %3D - 10 -1 0 3 0

A:

Q: cot x 5- findfor y : 1+ cot x

A:

Q: sin x-cos x sin x cos x 1. tan x csc x-secx cot x II

A: Hi,  As per bartleby rules, we are supposed to do only one question at a time.  Kindly repost the…

Q: 6 csc(-x) - -6 cot(x) sec(-x) %3D

A:

Q: tan x - cot x Cos 2x Cot X t tanX

A: Given: tanx-cotxcotx+tanx=-cos2x

Q: Salve for x if Arc tan (1- x) + Arc tan (1 + x) = Arc tan

A: Our Aim is to solve for 'x' if tan-11-x+tan-11+x=tan-1x -(i)

Q: sin 2x+cos2x+1 1- Prove cot x sin 2x-cos 2x+1 2- Sinh (u-v) = Sinh u.Cosh v - Cosh u.Sinh v %3D

A: Evaluate the following 1-prove sin 2x+cos 2x+1/sin 2x-cos 2x+1=cot x 2-sinh(u-v) = sinh u.cosh v-…

Q: Verify the identity:

A: The given identity is 1+sinx1-sinx-1-sinx1+sinx=4tanxsecx

Q: sin(x+y) - coty siny sin X

A: To evaluate the given expression.

Q: Length of a catenary Show that the arc length of the catenary y = cosh x over the interval [0, a] is…

A: Given  The curve is  y=cosh x over the interval [0,a] .     Formula  Arc length formula…

Q: Arc length Find the length of the curve y = In (sin x), 6 2

A: y=lnsin x, π6≤x≤π2

Q: sinA (1+cosA). prove that =2cosecA (1+cosA) sinA

A: Simplification

Q: sinA (1+cosA) prove that :=2cosecA (1+cosA) sinA

A: some important formulas required to solve this question1.) sin2A + cos2A = 12.) 1sinA= cosec A3.)…

Q: Verify the identity:

A: Verify the identity:        secxcotx+tanx=sinx

Q: (2) lim (1+2sin(Vz)]cot =

A:

Q: cot(-0)+tan(0-) TT = 1 – 2sin² (0) tan(-0)+cot(-0) |

A: The given statement is: cotπ2-θ+tanθ-π2tan(-θ)+cot(-θ)=1-2sin2θ

Q: 16. cos(x)sec(-x) 17. sin(x)csc(-x) 18. tan(-x)cot(-x) 19. cot(x)cot(x)

A:

Q: Establish each identity given in attachment.

A: Take left hand side of equation cotθ1-tanθ+tanθ1-cotθ=1+tanθ+cotθ and simplify to make same as right…

Q: sinA (1+cosA) prove that =2cosecA (1+cosA) sinA

A: sinA1+cosA+1+cosAsinA =sinA·sinA+1+cosA1+cosA1+cosAsinA =sin2A+1+cosA2sinA1+cosA…

Q: 1-cos x (csc x – cot x)² 1+cos x

A:

Q: Vtan(x) Vtan(x) + cot(x)

A: Use property of definite integration

Q: Find the limit

A: Given limit can be written as Dividing both numerator and denominator by , we get

Q: cot x dx 4+5 Insin x

A: As per answering guideline, we can answer to one question. Please repost other question. Thank you

Q: sin (cot−1 (5/2 ))

A:

Q: cot x sec x sin x = 1

A:

Q: cot(sec(x) -1 cot\sec

A: on  simplifying we get

Q: Arc length Find the length of the curve 3 x² + y V3 -sin from x = 0 to x = 1. V3

A: y=x23-x2+32sin-1x3 Differentiating with respect to x, we get…

Q: Cycloid arch: x = a(0 – sin 0), y = a(1 cos 0) - -

A:

Q: 2sin x -cot x -csc x=0 If x is 0

A:

Q: Find sec(x) ans sin(x) given cot(x)=4 and sin(x) >0

A: Given that cot(x)=4 and sin(x)&gt;0 We have to find sec(x) and sin (x)

Q: 2 cot 2x = cot x-tan x %3D

A:

Q: 4. (tanx)(1 - cot x) = tan x - 1

A: Given  (tanx)(1-cotx)=tanx-1 Let's verify the identity as shown below

Q: (1+sin@)(1-sine) cot e 2

A: We use Trigonometry identities

Q: sin x 3. cot x + = CSC X 1+ cos x

A: Cot x = cosx/sinx

Q: Arc length Find the length of the curve y = In (sec x), for 0 <xs #/4.

A: Given that: y=ln(secx)    for   0≤x≤π/4

Q: lim (Sin Jrital- Sin) 6.

A:

Q: (cot2 x + 1)(sec² x – 1)

A: