Find the equation of the tangent line to the curve at the given point? y = x cot(x) at the point with x-coordinate= π/4

The equation of the tangent line

Step-by-step explanation:

Step(i):-

Given function y = x cot (x) ....(i)

Differentiating equation (i) with respective to 'x' , we get

Step(ii):-

The slope of the tangent line

We will use trigonometry formulas

Now the slope of the tangent

Step(iii):-

Given

Substitute in y = x cot (x)

The point of the tangent line  

The equation of the tangent line

each side has a different length.  

step-by-step explanation:

9x