How do you write #x = 7# into polar form?

Answer 1

To write ( x = 7 ) in polar form, we first need to represent ( x ) in terms of magnitude and angle. Since ( x = 7 ) is a real number, its magnitude is ( |x| = 7 ). The angle ( \theta ) is the angle formed between the positive x-axis and the line connecting the origin to the point ( (x, y) ) in the Cartesian plane.

For ( x = 7 ), the point lies on the positive x-axis, so the angle ( \theta ) is ( 0^\circ ) or ( 2\pi ) in radians.

Thus, in polar form, ( x = 7 ) can be written as ( r = 7 ) and ( \theta = 0^\circ ) or ( \theta = 2\pi ).

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Answer 2

#r = 7sec(theta)#

The question How do you convert rectangular coordinates to polar coordinates? has a list of equations used when converting between polar and rectangular systems along with their derivations.

For this problem we will be using

#x = rcos(theta)#

Substituting this into the given equation, we get:

#x = 7#
#=> rcos(theta) = 7#
Note that from the above, #cos(theta)!=0# meaning we can divide to obtain
#r = 7sec(theta)#
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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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