Question

Hello everybody, could you please help me find the rectangular form of this expression 1.7e 1.2−2.5j?

A. 1.7∠−1.3

B. 1.7∠1.3

C. 1.7∠−0.3

D. 1.7∠0.3

Answer 1

The rectangular form of the given expression 1.7e^(1.2-2.5j) is approximately -0.487 + 1.577i.

Step-by-step explanation:

Rectangular Form of the Expression

The rectangular form of the expression 1.7e^(-1.2-2.5j) can be found by converting the given expression into rectangular form using Euler's formula.

Euler's formula states that e^(ix) = cos(x) + i * sin(x).

Using this formula, we can rewrite the given expression as:

1.7 * (cos(-1.2) + i * sin(-1.2)) * (cos(-2.5) + i * sin(-2.5))

Simplifying this expression, we get:

1.7 * (cos(-1.2) * cos(-2.5) - sin(-1.2) * sin(-2.5) + i * (sin(-1.2) * cos(-2.5) + cos(-1.2) * sin(-2.5)))

Calculating the values, we find that the rectangular form of the expression is approximately -0.487 + 1.577i.

Therefore, the correct option is A. -0.487 + 1.577i.