Evaluate: Cos +iSin 12 12,

Q: - Multiply by d. b< dXn-1 < XN-1 <1 d or dXN-1 2 b

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Q: VERIFY THE IDENTITIES

A:

Q: cos Z (csc Z - sec 2) = cot Z

A: Our Aim is to prove the identity given below:-cos z (cosec z - sec z)= cot z-1 -(i)

Q: Theorem 3 Assume that a <1 and 16 (e +g +s) – d (c+f +r)|+|c(d +g +s) – e (b+ f +r)| +|f (d +e +s) –…

A: Given:…

Q: Let Y have a probability density function fy (y) = 2 where 0 < y < 0. It is know that Y has…

A:

Q: cos2x -4 in ax

A: Given,

Q: 8. Which of the following functions has a one- to-one inverse? * O A. y = x B. y = x^3 O C. y = x^2…

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Q: Establish the identity. 2 cos a- sin "a= a-1 2 2 cos? Using the identity sin a+ cos a= 1, make the…

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Q: (E – E2 – 1)z(k, l) = 0 (5.51) or (E1 + V1+ E2)(E1 – V1+ E2)z(k, l) = 0. (5.52) We will obtain a…

A: Explanation: Solution of a linear difference equation: First we see how to find the solution to a…

Q: Theorem 6 If (b+ f) > (c+r) and (d + g) > (e + s), then the necessary and sufficient condition for…

A: In the given question we have to determine red, which is let…

Q: The system of difference equations for uz and vk given by (2E – 3)uk + 5vk = 2, 2uk + (E – 2)vk = 7…

A: Given that, (2E-3)uk+5vk=2........(1)2uk+(E-2)vk=7.........(2) Multiply the (2) by 5 and (1) by…

Q: Example K Consider the equation Yk+1 (2 cos o)yk + Yk-1 = 0, cos o + 0, (4.82) - where o is a…

A: Given that yk+1-2cos ϕyk+yk-1=0, cos ϕ≠0, where ϕis a constant. To find the solution:

Q: A Stockbroker is interested in the factors influencing the rate of retum on the common stock of…

A: The provided information is: The total number of observations (n) is 35. The given multiple linear…

Q: 3, 3 tan (70) – tan°(70) 1-3 tan (70) tan (210) =

A:

Q: Let -J-6:30 = (3 1 A=-2 b= Then Lb is the unique solution of Ax=b.

A: We are given .Here, we need to verify that Lb is the unique solution of Ax=b. So, if we can verify…

Q: 4. The adjoint of the matrix A=1 2 0 3 1 is b. -1 10 0 -15 -2 4 -1 -1 -5 -2 d. Sone of these c. -1

A: A=20-1120311 first, we need to find the minor matrix M1, 1=det2011:  2 M1, 2=det1031:  1 M=1,…

Q: TEvaluate CUSO -4 sinze

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Q: 2 State which of the following functions has an inverse, giving a reason in each case. a f A B -2 -1…

A: We have to check inverse of function

Q: Solve the given initial-value problem. 1 -1 X + (3) 9 X' = 1 (0)x ' 8

A: Given X'=1-113X+tt+1, X0=98

Q: 4.2.4 Example D The Fibonacci difference equation is Yk+2 = Yk+1+ Yk- (4.40) The Fibonacci sequence…

A:

Q: Example E The third-order equation Yk+3 – Yk+2 – 4yk+1 +4yk = 1+ k+2* (4.235) can be expressed in…

A: We know Eh(yk)=y(k+h)yk+3= E3(yk)yk+2= E2(yk)yk+1=…

Q: p –1 = (r² + 1)(r2 – 1) = (r + i)(r – i)(r + 1)(r – 1), (= %3D

A: Given that, the characteristic equation is r4-1=0. r4-1=0r4=1