00:01
So in this problem, we need to write polar form of the 4 plus 3i.
00:07
So we know that 4 plus 3i can be written in the polar form and that is simply r cost theta plus i sine theta.
00:21
So we can simplify right hand side that is r cost theta plus i sine theta into r.
00:30
And left -hand side is nothing but 4 plus 3i.
00:34
Now we know that if z1 equals to z2, that is suppose z1 is a plus i, b -1 and z2 is nothing but a2 plus i -v -2.
00:50
So in this case, real and real part are same, that is a -1 equals to a -2 and b -1 must be equals to v -2.
00:59
That is imaginary part equals to imaginary part.
01:02
So in our case, 4 can be comparable to r cost theta and 3 is comparable to r sine theta.
01:11
So if we compare, we simply get r sine theta equals to 3 and r cost theta as 4...