Retake on #7Sorry that I don't do this in the first place
1 answer:
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Answer:
(a)
(b)
Step-by-step explanation:
Remember that to convert from polar to rectangular coordinates you must use the relationship:
In this case we have the following equations in polar coordinates.
(a) .
Note that in this equation the radius is constant, it does not depend on .
As
Then we replace the value of the radius in the equation and we have to::
Then in rectangular coordinates is a circle centered on the point (0,0) and with a constant radius
.
(b)
The radius is not constant, the radius depends on .
To convert this equation to rectangular coordinates we write
<em>Multiply both sides of the equality by </em><em>r</em>.
<em>remember that</em>
, <em>then:
</em>
<em>remember that </em>
, <em>then:</em>
<em>Simplify the expression.
</em>
<em>Complete the square.
</em>
<em>It is a circle centered on the point (1, 0) and with radio
</em>