When solving for the slope of a tangent line to a polar curve, could theta be in

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.

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