I have come across in the solution to a question. -(y^2-1)^(1/2)= (1-y^2)^(1/2). However I do not know why this has to be the case, and would appreciate anyone showing me, presumably using rules of exponentials, how this could be shown to be true. Similarly if the power is not fractional but...
Many thanks to both of you. I see the method by Halls and got the solutions through that. It did indeed seem quicker. With regard to the substitution, my apologies I did multiply through by cosΘ without realising and in fact reached the stage you showed. It was from there that I could not...
If I work it through I seem to get once x has been substituted into the second equation
aby(cos^2Θ+sin^2Θ)= ab^2(cosΘ+sinΘ)
y=b(cosΘ+sinΘ)
I've quite probably lost the plot, but I have repeated this several times and come up with this. And given this result...
Two tangents to an ellipse meet at a point T, find the coordinates of T.
The two equations are
(bcosΘ)x + (asinΘ)y= ab
(-bsinΘ)x + (acosΘ)y= ab
This has been really frustrating me as I feel it should be simple, but with the trigonometric...