Use implicit differentiation to find an equation of the tangent line to the curve at the given point.
y sin 12x = x cos 2y, (π/2, π/4)

The equation of tangent line is "".

Given equation is:

→

The points,

→

By differentiating with respect to "x", we get

→

At ,

→

→      

→                              

→                                      

hence,

The tangent line equation will be:

→

Thus the above approach is the appropriate one.

Learn more about tangent here:

link

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value