Find the least and greatest values of the distance of the point `(costheta,sintheta),theta in R ,` from the line `3x-4y+10=0.`

Explanation

To find the least and greatest values of the distance from the point \((\cos \theta, \sin \theta)\) to the line \(3x - 4y + 10 = 0\), we can use the formula for the distance \(D\) from a point \((x_0, y_0)\) to a line \(Ax + By + C = 0\):

\[ D = \frac{|Ax_0 + By_0 + C|}{\sqrt{A^2 + B^2}} \]

### Step 1: Identify the coefficients
In our case, the line is given by \(3x - 4y + 10 = 0\). Here, we have:
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