Question 1181609: The smallest non-permissible value for cosx(cscx- secx) = cots-1 , 0< x_ 2𝝅 is
a. 2𝝅
b 𝝅/2
c.𝝅
d. -𝝅
Answer by greenestamps(13203)   (Show Source):
You can put this solution on YOUR website!
For values of x where the expressions are undefined, the expressions have no value.
So I will assume the question is supposed to be the smallest non-permissible value OF x for the identity....
The expression on the right is undefined when cot(x) is undefined -- at integer multiples of pi.
The expression on the left is undefined when csc(x) is undefined and when sec(x) is undefined.
csc(x) is undefined when sin(x) is 0, at integer multiples of pi.
sec(x) is undefined when cos(x) is 0, at odd multiples of pi/2.
So the smallest non-permissible value of x on the interval (0,2pi] for the given identity is pi/2.
ANSWER b
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