In exercises 41 and 42, find the slope of the tangent line to the polar curve at the given point.
r = 1 − sin θ at θ = 0
Given that
Now we have to find slope of the tangent line at
The slope of a tangent line to the curve is given by the general form
In the case of polar coordinates, we know that
We know that
Since, we get
Let us start by finding
Now, evaluate
Substitute the values in
Replace with 0.
The slope of the curve at is -1.
In exercises 41 and 42, find the slope of the tangent line to the polar curve...
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