Optional: $64 \times 1$ (and it's mirror version $1 \times 64$ , if you want to consider a long strip of bottles a rectangle. Technically it is, but it's open to interpretation.

$32 \times 2$ and it's mirror $2 \times 32$ ;

$16 \times 4$ and it's mirror $4 \times 16$ ;

Optional: $8 \times 8$ . Since a square is a rectangle with extra limitations.

6 0

3 years ago

Answer all questions: 1) The electric field of an electromagnetic wave propagating in air is given by E(z,t) = 4cos(6 x 10^8 t -

Andre45 [30]

Answer:

Step-by-step explanation:

4 0

3 years ago

Tan inverse X + tan inverse Y + tan inverse z=pie prove that X+Y+Z=xyz<br>

vfiekz [6]

Answer:

see explanation

Step-by-step explanation:

Given

$tan^{-1}$ x + $tan^{-1}$ y + $tan^{-1}$ z = π

let

$tan^{-1}$ x = A , $tan^{-1}$ y = B , $tan^{-1}$ z = C , so

x = tanA, y = tanB , z = tanC

Substituting values

A + B + C = π ( subtract C from both sides )

A + B = π - C ( take tan of both sides )

tan(A + B) = tan(π - C) = - tanC ( expand left side using addition identity for tan )

$\frac{tanA+tanB}{1-tanAtanB}$ = - tanC ( multiply both sides by 1 - tanAtanB )

tanA + tanB = - tanC( 1 - tanAtanB) ← distribute

tanA+ tanB = - tanC + tanAtanBtanC ( add tanC to both sides )

tanA + tanB + tanC = tanAtanBtanC , that is

x + y + z = xyz

3 0

3 years ago