what-the-minimum-value-of-y-sec-x-cosec-x-

Question Number 79320 by jagoll last updated on 24/Jan/20

what the minimum

value of y = \sec (x) + cosec (x) ?

Commented by mr W last updated on 24/Jan/20

y = \frac{1}{\sin x} + \frac{1}{\cos x}

i t h a s n o m a x i m u m a n d n o m i n i m u m,

s i n c e e . g . w h e n \sin x \Rightarrow 1 w e h a v e

\cos x \to 0 a n d y \to \pm \infty .

b u t y o u c a n f i n d l o c a l m a x i m u m o r

l o c a l m i n i m u m b y u s i n g y^{'} = 0 .

Commented by jagoll last updated on 25/Jan/20

how to distinguish the

maximum value from the

maximum local value mister ?

Commented by mr W last updated on 25/Jan/20

https://www.mathsisfun.com/algebra/functions-maxima-minima.html