esirq) . cos(q) dq 5x/2

Q: Find Taylor's Sen'ed fey ci) f(x) = sin (2) about x= 1

A: see 2nd step.

Q: b. Prove that 2cot (20) = cot(0) - tan(0)

A: To prove the identity.

Q: d 1 Use implicit differentiation to prove (arcsin a] %3D 1-a

A: The detailed solution is as follows below:

Q: Use the Fundamental Theorem of Calculus to find (2 + cos x) dx.

A:

Q: If n is an odd natural number prove that I =, xsinnx dx = sinx 2.

A: Consider the given: It is given that n is an odd natural number, Take n = 1,Substituting n=1 and…

Q: Evaluate using the Squeeze Theorem. lim cos θ cos(tan θ) θ→ π/2

A:

Q: Prove that J5/2(x) = 2 TCX CScanned with CamScanner 3-x² 2 sin x - 3 COS X

A: Use the given information.

Q: With mean theorm, show that | cos x - cos y| < ]x – yl for all of x and y at R www.wwwnn

A: Mean Value theorem

Q: Prove that the inequality|cos(x)|≥1−sin2(x) holds true for allx∈R

A: Given inequality is

Q: b) fex-c - cos x + 1dx

A:

Q: 2. F(x) = [ cosr' dt

A: Use fundamental theorem of calculus

Q: if it was fcx) = Sin 3X,9(x)=COS4X EC where the internal multiplication is ove katati ID =S fcx) gx)…

A: f and g are perpendicular when , &lt;f,g&gt; = 0

Q: Prove that for all whole numbers n ≥ 1,

A: Explanation: Given that,  n≥1dndxnsinx=sinx+nπ2   Formula Used: 1. ddxsinx=cosx 2. ddxcosx=-sinx

Q: d Prove that sin x cos x from first %3D dx principles only. Be sure to prove any limits that are…

A: Let's learn first principle of derivative because we have to find derivative of sinx using first…

Q: Prove the following identities. Set up using LS/RS a. cos(² + x) = sin x b. sin(2x) 1-cos(2x) = cotx

A: a) The given identities: cos3π2+x=sinx To prove the given identities.

Q: 3. Prove that: tan-1z +z %3D

A:

Q: find: de So 2-cose using sediment theorem

A: Solution :-

Q: Evaluate the integral f sin²x cos³xdx.

A:

Q: Use linear approximations to estimate the following. 1. sin 9/4

A:

Q: Use Residue theorem to evaluate cos5x dr x²+1

A: The general form of a complex number is given by z=x+iy, where x,y are two real numbers and i=-1.…

Q: Q/prove that : (cos x) = -Sin X %3D

A:

Q: Prove that : 1 a) Sec'x= Cos!

A:

Q: Use the Fundamental Theorem of Calculus to find:

A: Given:

Q: Prove the identity. cotx cosx+ sınx CSCX

A: The objective is to prove the identity.

Q: Prove that: Sin'x+ cosx=I

A:

Q: Use the Second Fundamental Theorem of Calculus to evaluate cos Cos dr.

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

Q: prove thatn f(x)=In(cosx), then f1(x)=-tanx

A:

Q: HW /Prove that: (1) tanx=cot

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

Q: @H-w/ prove that cosiz=coshz

A: We have to prove by using cosiz and coshz formulae.

Q: A force of F(x)=x²-cos(3x) +2, x is in meters, acts on an object. What is the work required to move…

A: Given force f(x)=x2-cos(3x)+2

Q: PROVE that sin x = v1 – cos² x is NOT an identity.

A: Topic:- trigonometry

Q: 1. Prove the following identities. 1+cosx a) secx - tanxsinx = - b) sinx %3D cscx + cotx secx

A: 1(a). The given data is: To prove the identities: secx-tanxsinx=1secx

Q: b) verify the functions sin(3x) and cos(3x) are linear dependent or Linear independent.

A: Hence linear independent

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

A: Given : (sin ax)(cos bx)

Q: -Prove that: y" = 1 if y=csc(tan")

A:

Q: सिमे किमी e. Sin (x) dx

A:

Q: Use the Fundamental Theorem of Calculus, Part 1, to find the function f that satisfies the equation…

A:

Q: Use the Second Fundamental Theorem of Calculus to evaluate cos (E) dx.

A:

Q: Determine the exact function value of cosh (In 2).

A: The given function is  Cosh(ln2)

Q: Use the Fundamental Theorem of Calculus to find:

A: Evaluate integral using Fundamental theorem of Calculus.

Q: 2. Prove the following identities: a) tanx + cotx = secxcscx cosx + 1+sinx cosx b) 1-sinx cosx

A:

Q: Use the Second Fundamental Theorem of Calculus to evaluate 7. Part of the sin 2x the following…

A:

Q: Prove the following identity (Sin x - cos x)^2 = 1 - sin(2x)  show work

A: Given: sinx-cosx2=1-2sin2x

Q: Based on the Fundamental Theorem of Calculus, show in two statements what may be vrong with the…

A: SOLUTION: 1. We have to consider limit of integration (-1,0) to (0,3) .    when , we are going to…

Q: Prove that: sin(z + w) = sin z cos w +

A: Here we have to prove that,

Q: HiW Q Prove that : tanhclax) = x-! %3D x2+1

A:

Q: Prove that cosx = x³ + x< +4x has exactly one root in [0,pi/2]

A:

Q: Q4: Prove that: secx * cscx = tan x + cot x %3D

A:

Q: Prove that arcsin x = arctan , [지 < 1. 1 – x

A: Given : Prove that, To prove this equation, solve by trigonometric angles,

Q: (a) Show that lim | x| cos = 0.

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…