Answer :

The question should be accompanied with choices, below are the choices:

a) sqrt(1-x^2) 
b) x/sqrt(1-x^2) 
c) sqrt(1-x^2)/x 
D) 1/sqrt(1-x^2)

The answer should be c) sqrt(1-x^2)/x . 

cos u = sqrt (1 - sin^2 u) = sqrt(1 - x^2), and cot u = cos u / sin u.

The required value will vary Between [1,∞)

What is Trigonometry?

It is the branch of science that studies the relation between right-angled triangles.

How to solve?

if sin u = x and u varies from 0 to [tex]\frac{\pi }{2}[/tex]

We know, Sec u = [tex]\frac{1}{cos u}[/tex]

Then, for sec u or sec u varying from 0 to [tex]\frac{\pi }{2}[/tex] value will be in between [1,∞)

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