Convert to Rectangular: r*tanΘ/secΘ=2

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y=2

y=½

x=2

x=½

To convert the given equation to rectangular form, we can use the following trigonometric identities:

- tan(Θ) = sin(Θ) / cos(Θ)
- sec(Θ) = 1 / cos(Θ)

Let's replace tan(Θ) and sec(Θ) in the equation with their equivalent expressions:

r * (sin(Θ) / cos(Θ)) / (1 / cos(Θ)) = 2

Simplifying, we get:

r * sin(Θ) = 2

Now, we need to convert from polar coordinates (r, Θ) to rectangular coordinates (x, y). The conversion equations are:

x = r * cos(Θ)
y = r * sin(Θ)

Using the given values, we can solve for (x, y):

For y = 2:
From y = r * sin(Θ), we have 2 = r * sin(Θ). We need additional information (e.g. the value of r or Θ) to solve for (x, y).

For y = ½:
Similarly, from y = r * sin(Θ), we have 1/2 = r * sin(Θ). We need additional information (e.g. the value of r or Θ) to solve for (x, y).

For x = 2:
From x = r * cos(Θ), we have 2 = r * cos(Θ). We need additional information (e.g. the value of r or Θ) to solve for (x, y).

For x = ½:
Similarly, from x = r * cos(Θ), we have 1/2 = r * cos(Θ). We need additional information (e.g. the value of r or Θ) to solve for (x, y).

Without any additional information, we cannot determine the values of (x, y) using the given equations.

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