Equation of the tangent line at (0, pi/2)

[ƒ(x)]

Find the equation for the line that is tangent to the given formula if y = pi/2 when x = 0

Homework Equations

(x+1)dy - [(1/2)secycscy]dx = 0

The Attempt at a Solution

I tried to do this, and I got that

dy/dx = 1 / (0*0), which is infinity.

So...

y = \infty?

 

[quantumdude]

OK, so the slope is undefined. What kind of line has a slope that's undefined?

 

[ƒ(x)]

So it's a vertical line and no longer a function. That's the answer?

 

[HallsofIvy]

Your original problem was to find the tangent line. Nothing was said about being a function. What is the equation of the vertical line through (0, pi/2)?