When solving for the slope of a tangent line to a polar curve, could theta be in
ID: 2888552 • Letter: W
Question
When solving for the slope of a tangent line to a polar curve, could theta be in theory replaced with x? (Or any arbitrary letter.)For instance, could r = 1 - sin(theta) be turned into r = 1 - sin(x)? Not for any particular reason, I just was wondering if theta was significant in being theta or not. When solving for the slope of a tangent line to a polar curve, could theta be in theory replaced with x? (Or any arbitrary letter.)
For instance, could r = 1 - sin(theta) be turned into r = 1 - sin(x)? Not for any particular reason, I just was wondering if theta was significant in being theta or not. When solving for the slope of a tangent line to a polar curve, could theta be in theory replaced with x? (Or any arbitrary letter.)
For instance, could r = 1 - sin(theta) be turned into r = 1 - sin(x)? Not for any particular reason, I just was wondering if theta was significant in being theta or not.
Explanation / Answer
yes you can.
but note : if you assign
R= 1- Sin(X)
then you need to specify where x is in degree or radian
Another point need to be consider the difference between polar and cartsein plane.
polar plane always define ( r, angle)
angle alwys define with theta thats why we generally use (r, theta)
where cartesian plane is X and Y.