A. Solve: tanh(1 - i). Express your answer in rectangular form.

Q: Use the equation editor to find all solutions in the interval [0, 2 TT). 10 cos2 0+ cos 20 = 8

A: Topic:- trigonometry Use the identity cos 2x=2cos2x-1

Q: could you please help me derive this equation in terms of dA/dq pe-qA=1-A

A:

Q: find? dz =? %3D X = In(4 Cosu) y=4Sinu

A:

Q: [xsechtx'dx

A: Topic:- integration

Q: Find the Cartesian equation of r2 sin(20) = 1.

A:

Q: -dx х2-1 2,

A: we have to perform some mathematical operations to solve this, then using partial fraction to get…

Q: sec(2e158i)

A: The given problem is to evaluate and simplify the given complex expression and express in the…

Q: d 6) Find cot? dy

A:

Q: Find the quotient of z1 & z2, leave answer in trigonometric form: z1 = 2 – 3i & z2 = 1 – V3i

A: Introduction: Division is also performed between two complex numbers. But in order to convert the…

Q: Use sine and cosine to parametrize the intersection of the cylinders x + y = 81 and x? + z? = 81.

A: Find your answer below

Q: Giyen (x +2yi)(-4j) = _ei, solve for x and y. Express the result in rec- tangular form.

A:

Q: cost sin 2t-t

A: we have to find the following integral

Q: dx 2. e2x+1

A: ∫dxe2x+1let ex=tan ydifferentiate O.B.Sexdx =sec2y dy∫1tan2y+1×(sec2y dytany)

Q: differ ny dy

A:

Q: Solve the cofunction of sec(3pi/10)

A: The given expression is sec3π10. Cofunction identities in radians. sec3π10= csc(π2 -…

Q: how that the circumference of the circle x² + y² = r² is 2πr. (Solve using the arc length formula.)

A: Use the arc length formula to prove the given statement. Arc length =1+dydx2

Q: 2) t? t et sin 4

A:

Q: Find the length of the curve r= 1+ sin(20) Oses- /20

A:

Q: 2- Sm ()+i sin ).리 is .

A: Modulus of a complex number

Q: The solution in detail | (sech? (cosh 30) sinh ødø 2

A: Given: ∫sech2cosh3ϕsinh3ϕ dϕ

Q: dy

A: Given below the detailed solution

Q: Two planes leave the Minneapolis-St. Paul International Airport at approximately the same time. One…

A:

Q: Find the principle solution of sec(4z) = 2. If there is a distinct solution from the other half of…

A: sinπ3 = 32 and  sinπ-π3=32 cosπ3=12   and   cos2π-π3 = 12 .

Q: TT 0 < 0 < 2 sin 20 5'

A:

Q: Find The gh teim of

A:

Q: State the formula for the distance d between (x1, y1) and (x2, y2).

A: We have to find out formula

Q: What are the zeroes of the equation r = sin ( θ ) + 8 ?

A: given    r = sin(θ ) + 8

Q: Find 2-x) dx by using the formula for the area of a triangle.

A: Given, ∫022-xdx  We have to find the above definite integral by using area of triangle .

Q: Solve for the exact solutions in the interval '[0,2pi). If the equation has no solutions, respond…

A:

Q: Find all solutions to the equation. sec 0-1 0 Writo YOur anow or in

A: We have to solve the given equation,               Sec(theta) — 1= 0 The general solution for theta.

Q: 3. et dx. Hence, solve ii) Evaluate dr. [7 Marks]

A:

Q: What are the (x, y) coo

A: we can find the coordinates using the trigonometry- x = rcosθ = cos(2π/3) = -0.5 y = rsinθ =…

Q: Solve the equation for exact Solutions over the in ter val L0,2TJ 2anx =sinx

A:

Q: b) flx)= + Arcsin lenx) ,Dp=! %3D Jex+1|-3

A:

Q: Using appropriate trigonometric substitution, dx XV9 — х2 is transformed to

A:

Q: 3) Change r2 = 2 sin 20 to rectangular coordinates.

A:

Q: Use the hyperbolic identity to solve sech? 2x + tanh? 2x = 1.

A: You need to use the hyberbolic identities and put that into the given equation.

Q: dx e2X+1

A:

Q: 2. y +4 dy

A:

Q: Evaluate Hhe following înteplal s dx V4-25x2

A:

Q: Solve the given equation by using the variation of parameter. y" + y= sec² (x). %3D

A: The given non-homogeneous differential equation is y''+y=sec2x. The corresponding homogeneous…

Q: Solve the difterentiol eq uation dR a (RZ+I8) R= 2

A:

Q: cos (srj3) cosh"( 10<30")

A: Given : (1) ln [ ( 5+j3 ) + ( 6e^(j*12) ) ]- (10∠30° ) (2) cos(5+i3) cosh^(-1) ( 10∠30° )

Q: I= [ /2sin2a sin(/4-x) da

A: We have to solve given problems:

Q: 3. Solve the equation cosh 2x + cosh x 5, giving x to three dec. places. %3D

A: The given equation is cosh2x+coshx=5. Calculate the solution of x to three decimal places.   Here we…

Q: TO If I = 4 sec264(x) tan42(x) dx -164 uP (1+u²)ª du , then a = %3D

A: Explanation of the answer is as follows

Q: in the interval [0, 2pi). a.   cot2 x + (suare root

A: