Prove that x^2 = 4 will result into ± 2 using complex numbers.

Q: What is the domain of sech-1 x? How is sech-1 x defined in terms of the inverse hyperbolic cosine?

A:

Q: Express as a product.sin 4θ - sin 8θ

A: We know the identity, sinC-sinD=2cosC+D2·sinC-D2        ⋯⋯1

Q: A number of the form iy is called pure imaginary

A: A number of the form z = x + iy is known as complex number, where x is real part and y is imaginary…

Q: Only part b, part a is solved but i was asked to upload b seperately

A: Given: Mean lifetime of technical part μ=2 Let X be the lifetime of technical parts X~Expλwhere,…

Q: Find the distance between (-1, -3) and (2, 3). Express the answer in simplified radical form and…

A: distance formula: d = √[(x2-x1)2 + (y2-y1)2] where, (x1, y1) = coordinates of the first point…

Q: Express the product sin 6x sin 4x as a sum or difference.

A:

Q: 2. Express z =-5 in trigonometric form.

A: The expression for the trigonometric forms is, ......(1) where,

Q: 3. Express (j-3)° in rectangular form.

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Prove this equation (cosx-sinx) ^2=1-2sinxcosx

A: Trigonometric formula

Q: 2. Make the substitution x = 5 tan(0) into the expression (25 + x²)3/2 and simplify. Leave your %3D…

A:

Q: +(= Sin3x-5x+ 12 %3D

A: MOSS :- Method of Successive Substitution   Given function is fx =sin3x -5x +12

Q: 1. sin62° =

A:

Q: Evaluate: " sin' (;) 4 .2

A: Evaluate :     ∫0πsin7x2cos4x2dx

Q: B- If x+ 2 cos0 prove that x" +2 cosro by used complex number.

A: we have to show that the following

Q: Therefore, YZ-F Find the coc 1. (-2, 3, 5) an

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

Q: Find all solutions of 4sin^2xtanx−tanx= 0 that are in the interval [0,2π)

A: Given the equation  4sin2xtanx-tanx=0. We need to find the solution in the interval [0,2π)

Q: Compute without using a calculator.

A: Given: sin-1sinπ3 we know that  if, -π2≤θ≤π2 then , sin-1sinθ=θ

Q: Find the root between [-1,0] where \( f(x)=(x+2)^3+2x-5 \) with error \( \epsilon=0.1\) by using…

A: given equation is fx=x+23+2x-5interval -1,0find the root of an equation by using false position…

Q: Show that 3(sinx-cosx)*+6(sinx + cosx) +4 (sin r+cosx) = 13

A: Since multiple questions are asked, Answering first one. Repost with other question if you want to…

Q: So inverse sine would be a/2 not square root of x^2-64/x.

A:

Q: 3. Rewrite the expression tan (2x) sec² (2x) entirely in terms of tangent.

A:

Q: Express as a product.sin 3t - sin 7t

A: Given : sin 3t - sin 7t

Q: Express the product sin 8x sin 3x as a sum or difference.

A: Given:sin8x sin3xFormula:sinA sinB=12 cosA-B-cosA+B

Q: 6x + 6.

A:

Q: Solve for a root/roots of the functions 2. x2 – 3 sin x + 2 In(x + 1) = 3. 5 Applying both a.…

A:

Q: 5 sin x+1= sin x 4-

A: Factorize the given equation: 5 sin x+1=4sin x

Q: find an estimate of the root of the equation x3 + 2x – 4 = 0 using regula-falsi method. Perform…

A: Regula falsi method or False position method is one of the method used to find the approximate root…

Q: Calculate Sin(5x)=-√(2)/2

A:

Q: Integrate sqrt (16+x^2) from 0 to 4

A:

Q: Find sin ZA. 12 C A. 5 13

A:

Q: 6. 7 [sin¹ 3xdx

A:

Q: How can we use the general definition to prove the theorems?

A: Query- How can we use the general definition to prove the theorems. Answer- A theorem is a statement…

Q: Let z=x+iy be a complex number such that coshz#0. Then Im(tanhz) is equal to

A: None of these is correct.

Q: Use Residue theorem to evaluate dx -- x2- 8x + 17 00

A:

Q: The integral factor transforms the equation from not exact equation to an exact equation

A: We use the definition of Exact differential equation to obtain the answer of the given question.

Q: 2 sin (20)-1sin (0) = 0

A:

Q: Compute without using a calculator.

A:

Q: Express the product sin 5x sin 2x as a sum or difference.

A:

Q: Find sin(2θ) if tan(θ) = 2/3

A: Consider the given trigonometric equation:

Q: #9. In exact form

A:

Q: do o find 4+ 3 sin 0

A:

Q: Please show exact work on how to solve this.

A:

Q: Prove (sin10x)/(sin9x+sinx) = (cos5x)/(cos4x

A: Explanation of the prove is given below..

Q: Hint: the conjugate of the denominator #svon sinx - cosx + 1 sinx + 1 %3D xS200is sinx + cosx + 1…

A:

Q: Xx sec( 2x

A: Solution:-

Q: Determine 1-/[e-tt sin(2t)] 2- 23+3s)*

A: Given

Q: Be-Ba dx = 1. Show that for 3 > 0,

A:

Q: Find the root between [-1,0] where f (x) = (x+2)³ +2x– 5 with error epsilon=0.1 by using False…

A: The false position method uses the formula below to perform the iterations.…

Q: 3. Rewrite the expression tan (2x) sec²(2x) entirely in terms of tangent.

A: Given: tan52xsec22x Formula Used: sec2x+tan2x=1

Q: Find the exact value of:

A: Given that, To find the exact value of  sin 7π12 by using the identity, sin ( A + B) = sin A cos B…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.