Finding the minimum value

Hey there I need some help with this problem

Find the minimum value of

absolute value of sinx + cosx + tanx + cotx + secx + cscx

I've been trying to combine them together to make it more simpler but I been have trouble doing that, so Im hoping if someone can guide me through this problem so I can understand how to do this thanks.

Re: Finding the minimum value

Re: Finding the minimum value

Thanks a lot for your help

Re: Finding the minimum value

f(2.65345) = -1.82843 (5dp).

Re: Finding the minimum value

Quote:

Originally Posted by

**BobP** f(2.65345) = -1.82843 (5dp).

BobP you're right. Just curious can you kindly tell me how you got that mathematically?

Re: Finding the minimum value

Newton-Raphson on the derivative, (I didn't fancy trying to solve derivative = 0 algebraically). First approximation came from looking at the graph.

Re: Finding the minimum value

w8 the d(tanx)/dx is tan^2(x)? lol and the derivative of cot(x)=-cot^2(x)... i cant seem to follow that.....

Re: Finding the minimum value

Well I know the answer now is 2sqrt(2)-1

Not sure how to get that though =/

derivative of tan is sec^2 and

derivative of cot is csc^2

Re: Finding the minimum value

Sorry I messed up in my early post. Please disregard my last answer. That's absolutely garbage. Sorry about that.