Determine a two term expansion for the large roots of x = tan x and rtan x = 1.

Q: Show that Sinx+sin3x+sin5x/cosx+cos3x+cos5x=tan3x For all x for which tan 3x is dedined. Does this…

A: given that                      sinx+sin3x+sin5xcosx+cos3x+cox5x=tan3x and we have to proof…

Q: 2. Use the Intermediate Value Theorem to show that the equation has at least 2 positive real roots.…

A:

Q: tan Find -dr using integration by parts.

A:

Q: find integral of sin-4x

A: Given: -

Q: What is the coefficient of the x term in Maclaurin polynomial for sin(2x)

A:

Q: Solve the equation tan 3x = √3/3  on the interval [0, 2π).

A:

Q: Employ fixed-point iteration to locate the root of f(x) = sin (√√x) - x

A: We are given f(x)=sin(x)-x to find the root using fixed we first find iterative function ϕ(x)…

Q: Find all solutions of csc(x-3)=(2(sqrt(3)))/3 on the interval [4pi, 6pi] x= ?

A:

Q: Prove 9 coshx – 5 sinhx = 15

A: This is hyperbolic function equation so we want to find x value by thi equation so. firstly, we…

Q: Find the finite difference formula for the second derivative at point x=x; with points X₁, Xi+1,…

A:

Q: (6cotx-6)/ (1-tanx) solve this

A: Given,          6cotx-61-tanx

Q: tan(2 – j5) j(2-j5) +7- jv2 In(-5)| (3220° – sin 20 + jln5)*|

A:

Q: perform addition and use fundamental identites to simply sin(x)/1 + cos (x) +1 cos (x)/sin(x)

A:

Q: 4cos^2x use power reducing identities

A:

Q: 3x

A:

Q: Determine the two roots of sin x + 3cosx - 2 = 0 that lie in the interval (-2, 2). Use the…

A: Iteration 1: c=2a+b​=0 f(c)=sin(0)+3cos(0)−2=1Since  f(a)⋅f(c)<0, the root lies in the interval…

Q: What is the domain for f(x)=square root 1-sin x? And explain why x cannot be equal pi/2 and 5 pi/2?

A: We draw graph of function f(x)=square root 1-sin x

Q: show that there is a root of sin(x2)=e2-2.

A: To show that there is a root of sin(x2)=e2-2.

Q: do Evaluate the intergal using the 12 + 8 sin 0 residue theorem.

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

Q: Prove the identity arcsinhx=ln(x+√1+x2).

A:

Q: by using simple iteration method find one root of the following equation sin x=1/(x^2-lnx)

A:

Q: The sum of the absolute max and the absolute min of the function f(x) = = sin 2x + cos is equal to:

A:

Q: Apply Aitken's A²-method to find a root of the equation sin²x = x² - 1

A:

Q: Use the addition formulas for sinhx and coshx to prove that tanh(u+v)= tanhu+tanhv/ 1+tanhutanhv

A:

Q: Use substitution to evaluate the integral 4 sec2 4xvtan 4xdx 4 (tan 4x) + C 3 15 (tan 4x) + C 2 (tan…

A: Given query is find the value of the integral.

Q: Simplify sec(arctan 1) 1

A: Please refer to the image below

Q: Prove that, Cosh(A+B) = CoshACoshB + SinhASinhB. Deduce a similar expression for Sinh(A+B)

A: We have to prove thatCosh(A+B) = CoshACoshB + SinhASinhB.Also we have to deduce a similar expression…