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Converting Between Systems - Trigonometry - Socratic
#y=rsin theta# To convert from rectangular to polar: #r^2=x^2+y^2# #tan theta= y/x# This is where these equations come from: Basically, if you are given an #(r,theta)#-a polar coordinate- , you …
How to write 2sinθ - 4cosθ in the form rsin(θ - α)? - Socratic
May 20, 2018 · How to write 2sinθ - 4cosθ in the form rsin(θ - α)? Hence solve 2 2sinθ - 4cosθ = 3 for 0≤ θ ≤360.
What is sin(x)+cos(x) in terms of sine? - Socratic
Apr 15, 2015 · Suppose that #sinx+cosx=Rsin(x+alpha)# Then . #sinx+cosx=Rsinxcosalpha+Rcosxsinalpha# # =(Rcosalpha)sinx+(Rsinalpha)cosx# The …
How do you find the cartesian graph of #r = 5sin(θ)#? - Socratic
Nov 27, 2015 · You basically get a circle. Consider the following diagram: We can see that the relationships between rectangular and polar coordinates are: r=sqrt(x^2+y^2) theta=arctan(y/x) …
Write the equation in rectangular coordinates: #r=10sin(θ)
Apr 13, 2018 · Given: #r=10sin(theta)# This is the graph in polar coordinates:. Multiply both sides by #r#:. #r^2=10rsin(theta)# ...
How do you convert the following to a rectangular equation:
Oct 5, 2016 · (x-1/2)^2+(y+1/2)^2=1/2 When converting from polar to rectangular equations you have to switch the references to r and theta to x and y. x=rcos(theta) y=rsin(theta) …
How do you convert rectangular coordinates to polar coordinates?
Dec 1, 2014 · To convert from polar to rectangular: x=rcos theta y=rsin theta To convert from rectangular to polar: r^2=x^2+y^2 tan theta= y/x This is where these equations come from: …
How do I graph polar coordinates? - Socratic
Mar 14, 2015 · Polar coordinates are in the form (r,theta). This basically means (radius,angle). To graph them, you have to find your r on your polar axis and then rotate that point in a circular …
What is the Cartesian form of rsin (theta) = 2theta+cot ... - Socratic
Given: #rsin(theta) = 2theta+cot(theta)-tan(theta)# Substitute #theta = tan^-1(y/x)#. #rsin(theta) = 2tan^-1(y/x)+cot(theta)-tan(theta)#
How do you convert the polar equation - Socratic
Oct 5, 2016 · x^2+(y-3/2)^2=9/4 x=rcos(theta) y=rsin(theta) r^2=x^2+y^2 Multiply the equation by r r*r=3rsin(theta) Simplify r^2=3rsin(theta) Make appropriate substitutions x^2+y^2=3y Gather all …