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# R = 2v^2/g sintheta costheta.

The Simplified Range equation, R = 2v 2 /g sinΘ cosΘ, computes the ballistic range horizontal displacement of an object in free flight ignoring factors such as wind resistance. The formula is simplified because it assumes the object is launched on the plane upon which it will fall. From the equation, sin2theta cannot be negative, so theta is restricted to 0 <= theta<= pi/2 or pi <= theta <= 3pi/2. And most values of theta corresponds to a positive and a negative value of r, the graph should have rotational symmetry. If a graphing program for cartesian is available, the cartesian equation is x^2y^2^2 = xy. The gaph will appear as follows: It is a circle with center at 1,pi/2 and radius 1 and as r=2sintheta means r^2=2rsintheta in rectangular coordinates, it is equivalent to x^2y^2=2y Trigonometry Science.

As title describes, I was wondering how I would put this into Cartesian form, from polar. All I have is $r = \sin2\theta$. I'm not really sure what to do, I've been trying to find similar problems on the internet to no avail at least with an explanation, nor can I figure it out myself. How do you convert r \sin^2 \theta =3 \cos \theta into rectangular form? How do you convert from 300 degrees to radians? How do you convert the polar equation 10 sinθ to. 12/12/2012 · I integrated from -pi/2 to pi/2. If someone could help me understand what the bounds on the integral should be and whether or not I'm right, I'd greatly appreciate it! Home. 6. Expressing a sin θ ± b cos θ in the form R sinθ ± α by M. Bourne. In electronics, we often get expressions involving the sum of sine and cosine terms. Subject: some math questions. Okay, I am in pre-algerbra and I am having a few problems. theta. Thus the area between the chord and the arc is 1/2 r 2 theta-sintheta. To find the area of a circle in terms of the circumference use the facts that the area is given by A=Pi r 2 and the circumference by C=2 Pi r.