Asked by Collins


find the number of root the equation given below in interval (-pi.pi)
(cosx)^7+(sinx)^4=1
Answered by David
Really, that is inappropriate.

I am sorry Collins that I can't help you with this question. I am currently in Pre-Calc so I haven't learned this topic in great detail yet.
Answered by Steve
This is a challenge analytically, but using the graph it is easy:

http://www.wolframalpha.com/input/?i=%28cosx%29^7%2B%28sinx%29^4%3D1

Coming up with the solutions -π/2, 0, π/2 is easy, but showing there are no others is tough.
There are no AI answers yet. The ability to request AI answers is coming soon!