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z=2cispi/3 in rectangular form

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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

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Complete Question:

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

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