Jeff Byram wrote:
Good readers, I wish to find a value for Y given any value of X for the equation:
How can this be done? I have tried and failed to use a ten year old Hewlett Pakard 48SX in equation solving mode to solve for Y given any value of X.
Are there any other calculators that can do this? Can someone recommend a course of action to solve this equation? Can the solution be graphed?
Am I correct in assuming that it can only be solved by some kind of iterative scheme?
Your equation holds identically (it's true for all X and Y).
Moving the pi/4 to the other side and taking the tangent of the equation yields
The addition formula for tangent is
. Remembering that trig functions are nothing but ratios: if
Now plugging this back into your equation yields
, so we finally get 1=1.