1a) Convert the Cartesian equation (x^2 +y^2-1)^2 +4y^2-1 = 0 to polar coordinates. 1b) Use a trigonometric identity to show that the polar equation can be simplified as r^2 = 2 cos 2θ. Explain why all the solutions of the original equation are still solutions of this equation (noting that you have probably divided both sides by r^2).
1a) Convert the Cartesian equation (x^2 +y^2-1)^2 +4y^2-1 = 0 to polar coordinates. 1b) Use a trigonometric identity to show that the polar equation can be simplified as r^2 = 2 cos 2θ. Explain why all the solutions of the original equation are still solutions of this equation (noting that you have probably divided both sides by r^2).
1a) Convert the Cartesian equation (x^2 +y^2-1)^2 +4y^2-1 = 0 to polar coordinates. 1b) Use a trigonometric identity to show that the polar equation can be simplified as r^2 = 2 cos 2θ. Explain why all the solutions of the original equation are still solutions of this equation (noting that you have probably divided both sides by r^2).
Please answer the following equations with full working out
1a) Convert the Cartesian equation (x^2 +y^2-1)^2 +4y^2-1 = 0 to polar coordinates. 1b) Use a trigonometric identity to show that the polar equation can be simplified as r^2 = 2 cos 2θ. Explain why all the solutions of the original equation are still solutions of this equation (noting that you have probably divided both sides by r^2).
Equations that give the relation between different trigonometric functions and are true for any value of the variable for the domain. There are six trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
by Bartleby Expert