Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

z=2cispi/3 in rectangular form

Sagot :

Lanuel

The conversion of "z = 2(cos(π/3))" in polar form to rectangular form is equal to 1.

What is a polar coordinate?

A polar coordinate can be defined as a two-dimensional coordinate system, wherein each point on a plane is typically determined by a distance (r) from the pole (origin) and an angle (θ) from a reference direction (polar axis).

How to transform polar coordinates to rectangular coordinates?

In geometry, the relationship between a polar coordinate (r, θ) and a rectangular coordinate (x, y) based on the conversion rules is given by the following polar functions:

a = rcos(θ)    ....equation 1.

b = rsin(θ)     ....equation 2.

Where:

  • θ is the angle.
  • r is the radius of a circle.

Note: The exact value of cos(π/3) is equal to ½.

Substituting the given parameters into the formula, we have;

z = 2(½)

z = 2/2

z = 1.

In conclusion, we can logically deduce that the conversion of "z = 2(cos(π/3))" in polar form to rectangular form is equal to 1.

Read more on polar coordinates here: https://brainly.com/question/2193539

#SPJ1

Complete Question:

Convert z = 2(cos(π/3)) in rectangular form

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.