1. What does identity mean?

Q: Prove the following set identities: (a) (AUB) nC = (ANC) U (BNC); (b) (AUB) - C= (A-C) U (B-C); (c)…

A: The prove of the identities (a), (b) and (c) are given below.

Q: 1 + tan? ( * ) = 6.

A:

Q: lim, 1 f(x) = %3D

A: limx→a f(x) =L if and only if limx→a- f(x) = L =limx→a+ f(x) .

Q: Take the Laplace transform of the following initial value problem and solve for Y (s) = L{y(t)}: y"…

A:

Q: 3. cos0 17 II

A: We have to find out θ value and given is cosθ=-817

Q: 2-5. Prove each given identity. 2. sinx secx cotx = 1

A:

Q: -2 1 -1 2. Let A -2 0 4 1 5050 96 5 4 -61-2 9 1 -9 Find the rank A and the dim Nul A.

A: (2).rank A=3 and dim Null(A)=2Explanation:

Q: M Jo tu What is the coefficient of W of in the exDansion

A:

Q: 8. Use Trigonometric Substitution to evaluate x'V4+x?

A: We will use standard formulae of trigonometry.

Q: 1 and 0< a < If tan a= - find cos a. Cos a = (Simplify your answer, including any radicals. Use…

A: tan α=12 and 0&lt;α&lt;π2

Q: For all sets A, B, C show that (C- A) – (B – A) = (C – B) – A. %3D

A: Concept used: For all sets A, B, C, then following are true: 1. A-B=A∩B2. A∩A=∅3. A∩B∪C=A∩B∪A∩C4.…

Q: Establish the identity. cot?(-0)+1= csc ²e Which of the following four statements establishes the…

A: cot2(-θ) is wrriten as (-cotθ)2 From option 3  =cot2(-θ)+1=(-cotθ)2+1 =cot2θ+1=cosec2θ

Q: 14. Algebraically determine the values of x and y to correctly complete the identity stated below.…

A: