Question

Express 3(cos 232degree + i sin 232degree) in rectangular form

Answer 1

x 2 + y 2 - 4 y = 0

Answer 2

How to solve step by step..

Answer 3

[AI-generated answer — Explain Bot]

To express a complex number in rectangular form, we can use Euler's formula, which states that:

e^(iθ) = cosθ + i sinθ

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

3(cos 232° + i sin 232°) = 3e^(i * 232°)

Now, let's calculate the value of e^(i * 232°).

To convert degrees to radians, we use the formula:

radians = degrees * (π/180)

So, let's convert 232° to radians:

radians = 232 * (π/180)

Now, we can substitute this value back into the equation:

3e^(i * 232°) = 3e^(i * 232 * (π/180))

Using Euler's formula again, we get:

3e^(i * 232 * (π/180)) = 3(cos(232 * (π/180)) + i sin(232 * (π/180)))

Now, we can simplify this equation:

3(cos(232 * (π/180)) + i sin(232 * (π/180)))

Finally, we can calculate the values of cos(232 * (π/180)) and sin(232 * (π/180)) using a calculator or table. Once we have those values, we can substitute them into the equation to find the rectangular form of the given complex number.