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x2+y2=2y into polar coordinates
When converting Cartesian coordinates to polar coordinates, three standard converstion factors must be memorized:
r2=x2+y2
r*cos(theta)=x
r*sin(theta)=y
From these conversions, you can easily get the above Cartesian equation into polar coordinates:
r2=2rsin(theta), which reduces down (by dividing out 1 r on both sides) to:
r=2sin(theta)
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Sketch a polar curve for r equals sin theta?
It will be a circle.
How do you write the polar equation r2 - 2r sin theta in rectangular form?
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How can you determine the y- intercept if its not given directly?
The y-intercept (or y-intercepts) of an equation is where x = 0. Replace x with zero in the equation, and solve for y.The answer depends on what information you are given - and in what form. If the equation of the curve is given in polar coordinates or in parametric form, the process is quite different to that required when given the Cartesian equation.
Which equation describes the circle with radius 7 that is centered at the origin?
The simplest formula, in polar coordinates, is r = 7.
What is the answer to the question three parallel impedances Z1 Z2 and Z3 are represented by the complex numbers Z1 equals 2 plus j Z2 equals 1 plus j and Z3 equals j squared answer in polar cartesian?
The general rule for resistances in parallel (to find out the equivalent resistance) is: 1/R = 1/R1 + 1/R2 + 1/R3 + ... The same rule can be used for impedances (just replace resistance by impedance). So, you just have to divide 1 by each of the impedances, add the results together, then take the reciprocal. Note that addition and subtraction with complex numbers is easier if the numbers are in rectangular coordinates, whereas multiplication and division is easier if they are in polar coordinates. Also note that most scientific calculators have the capacity to convert between polar and rectangular coordinates. Check your calculator manual for details.
