Posted by **hiii** on Thursday, June 28, 2012 at 12:00pm.

All right, sorta hard to explain but I will try my best. I am suppose to find the equation for the that lines that are tangent to the curve y=cot^2(x) at the point (pie/4, 1)....(the x is not to the power of 2, a variable right next to the cot^2)

I am not sure how to do this and if you can help, that would be awesome. It's the cot that's really tripping me up :/

- calculus -
**Steve**, Thursday, June 28, 2012 at 12:28pm
<rant> AARGH! Who are these people that don't understand that π is PI, not PIE? </rant>

y = cot^2(x)

y' = 2cot(x)(-csc^2(x)) = -2cot(x)csc^2(x)

at x=π/4, the slope is -2(1)(2) = -4

the line through (π/4,1) with slope -4 is

(y-1) = -4(x-π/4)

massage that equation into the form you most like.

- calculus -
**hiii**, Thursday, June 28, 2012 at 12:52pm
how did u get -2(1)(2)? did u just plug the PI/4 into the formula?

- calculus -
**Steve**, Thursday, June 28, 2012 at 1:19pm
yeah, that's the way one computes the value of f(x) -- plug in the value of x.

- calculus -
**Count Iblis**, Thursday, June 28, 2012 at 1:28pm
http://wordplay.blogs.nytimes.com/2011/03/14/numberplay-pi-in-the-sky/

## Answer This Question

## Related Questions

- Math - In this problem we consider drawing some straight lines which form a nice...
- Calculus - Damon - Find the line which passes through the point (0, 1/4) and is ...
- Calculus - a)The curve with equation: 2y^3 + y^2 - y^5 = x^4 - 2x^3 + x^2 has ...
- Tangent Lines-Calculus - a line is tangent to the curve y= (x^2 + 3)/ (x+3)^1/2 ...
- calculus - Consider line segments which are tangent to a point on the right half...
- Calculus - Suppose f(x) is differentiable at x=a. What does tangent line ...
- Calculus - Suppose f(x) is differentiable at x=a. What does tangent line ...
- Calculus - Suppose f(x) is differentiable at x=a. What does tangent line ...
- Calculus - Suppose f(x) is differentiable at x=a. What does tangent line ...
- Calculus - Consider line segments which are tangent to a point on the right ...

More Related Questions