I won't do yours for you.  I'll do one exactly like it instead
and you can use it as a model to do yours by.  I'll do this
one instead which uses cosine instead of sine:


 Always draw this picture when converting from polar to ractangular 
or from rectangular to polar::
Always draw this picture when converting from polar to ractangular 
or from rectangular to polar::
 Looking at the triangle in the picture above you can see these:
Looking at the triangle in the picture above you can see these:
 ,
,  ,
,  Then solve for y, x and r
Then solve for y, x and r
 ,
,  ,  {r=sqrt(x^2+y^2)}}}
ALWAYS WAIT TILL LAST TO SUBSTITUTE FOR r. Substitute for x and y
first. Then simplify.
,  {r=sqrt(x^2+y^2)}}}
ALWAYS WAIT TILL LAST TO SUBSTITUTE FOR r. Substitute for x and y
first. Then simplify.


 


 Multiply through by r
Multiply through by r


 NOW, FINALLY, we substitute for r2.
NOW, FINALLY, we substitute for r2.


 <-- answer
That's it!.
Now do yours the same way, only use the sine instead.
Edwin
   <-- answer
That's it!.
Now do yours the same way, only use the sine instead.
Edwin