Question

Convert 4(cos 4π³+isin 4π³) to rectangular form

Answer 1

To convert 4(cos 4π³+isin 4π³) to rectangular form, we can use Euler's formula: e^(ix) = cos(x) + isin(x). The rectangular form is -4.

Step-by-step explanation:

To convert 4(cos 4π³+isin 4π³) to rectangular form, we can use Euler's formula: e^(ix) = cos(x) + isin(x). The rectangular form is given by a + bi, where a is the real part and b is the imaginary part. So, we have 4(cos 4π³+isin 4π³) = 4e^(i4π³). Let's calculate:

4e^(i4π³) = 4(cos(4π³) + isin(4π³)) = 4(-1 + i*0) = -4

Therefore, the rectangular form of 4(cos 4π³+isin 4π³) is -4.