SOLUTION: The minimum value of  sin^n A + cos^n A + sec^n A + cosec^n A + tan^n A + cot^n A is..

Algebra.Com
Question 934134: The minimum value of  sin^n A + cos^n A + sec^n A + cosec^n A + tan^n A + cot^n A is..
Answer by AnlytcPhil(1807)   (Show Source): You can put this solution on YOUR website!
There is no minimum value 

For instance, take A=33, then by calculator, 

sin^n A + cos^n A + sec^n A + cosec^n A + tan^n A + cot^n A 

is less than negative 1 million, and there is no end to how small
it can get.

Edwin

RELATED QUESTIONS

Find the value of the series in the form a(pi)/b: sum (sin n^o/n), n = 1 to infinity.... (answered by ikleyn)
n(n+1)(n+2)is a multiple of 6. (answered by MathLover1)
find the limit as n-infinity (a) sin(n)-n divided by n... (answered by Fombitz)
(a^m+n)^m-n (answered by Fombitz)
Prove that sin(n+1)Asin(n+2)A + cos(n+1)Acos(n+2)A =... (answered by Edwin McCravy)
List all elements of the set A ∩ B, where A = {n ∈ N | n = 2^n − 1} and (answered by richard1234)
If 0 < n < 1, which of the following gives the correct ordering of √n, n, and, n^2 (answered by CharlesG2)
n(U)=15, n(A)=7 then n(A') is, (answered by MathLover1)
Show that (n + 1)^2 is a divisor of (n + 1)! + n! + (n -... (answered by tommyt3rd)