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How do you convert this polar equation r2 sin 2 theta equals 8 to cartesian form?
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∙ 10y ago
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∙ 10y ago
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What is the Formula For Calculating The Magnitude Of The Resultant Of Two Or More Vectors Acting At obtuse Angle?
No matter what the angles are:* Express the vectors in Cartesian (rectangular) coordinates; in two dimensions, this would usually mean separating them into an x-component and a y-component. * Add the components of all the vectors. For example, the x-component of the resultant vector will be the sum of the x-components of all the other vectors. * If you so wish (or the teacher so wishes!), convert the resulting vector back into polar coordinates (i.e., distance and direction).
What is Rcos theta and Rsin Theta?
They are the projections, onto the x and y [Cartesian] axes, of a point whose polar coordinates are (R, theta). It's a common Trig way to express a point when a radius is rotated around a given angle. For example, where exactly would the edge of a two foot gate lie if the gate opened 30 degrees? R is two feet. Two times cosine 30 is the x coordinate and two times sine 30 is the y coordinate.
What jobs use trigonometry functions?
Often people involved in industrial production will use polar graphs to program their machines; take, for, example, a pretzel-making machine. They can graph the path the "dough-shaping" machine must follow on a polar graph.
Do rectangular coordinates have the same property as polar coordinates?
Some of them but not all. For example, uniqueness. The rectangular coordinates (x, y) represent a different point if either x or y is changed. This is also true for polar coordinate (r, a) but only if r > 0. For r = 0 the coordinates represent the same point, whatever a is. Thus (x, y) has a 1-to-1 mapping onto the plane but the polar coordinates don't.
Topics need for trigonometry?
There are several topics under the broad category of trigonometry. * Angle measurements * Properties of angles and circles * Basic trigonometric functions and their reciprocals and co-functions * Graphs of trigonometric functions * Trigonometric identities * Angle addition and subtraction formulas for trigonometric functions * Double and half angle formulas for trigonometric functions * Law of sines and law of cosines * Polar and polar imaginary coordinates.
Write a c program to convert from cartesian to polar coordinates?
the equation that convert from cartesian to polar coordinates and vice versa r = sqrt (x*x+y*y); phi = atan2 (y, x); x = r*cos (phi); y = r*sin (phi);
X squared plus y squared equals 2y.change into polar equation?
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)
How would you convert Cartesian equation into polar equation?
Set x = r*sin(t) and y = r*cos(t) then r = sqrt(x^2 + y^2) and t = arctan(y/x) if x not 0, t = pi/2 if x = 0.
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.
What is the need for conversion of polar coordinate to Cartesian coordinate?
Some problems are easier to solve using polar coordinates, others using Cartesian coordinates.
What equation describes the circle with radius 6 that is centered at the oridin?
The equation in Cartesian coordinates is x2 + y2 = 6 But much simpler are the polar coordinates: r = 6 and 0 ≤ q < 360 degrees.
How can you determine the rate of change or slope if it is not directly given?
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.
Disadvantages of drawing a circle using polar coordinates method?
Polar Co-ordinates are non-Cartesian co-ordinates. Since most of the Graphics Package do not support non-Cartesian co-ordinates,Polar co-ordinates should be converted to Cartesian form.
How do you convert a complex number from polar form into rectangular form?
If the polar coordinates of a complex number are (r,a) where r is the distance from the origin and a the angle made with the x axis, then the cartesian coordinates of the point are: x = r*cos(a) and y = r*sin(a)
An equation whose variables are polar coordinates is called a(n) equation?
polar
Why graph on the Cartesian coordinate system?
You do not have to. You could use polar coordinates, if you prefer.
Why body convert non polar drugs to polar drugs?
no
