Question 1181609
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For values of x where the expressions are undefined, the expressions have no value.<br>
So I will assume the question is supposed to be the smallest non-permissible value OF x for the identity....<br>
The expression on the right is undefined when cot(x) is undefined -- at integer multiples of pi.<br>
The expression on the left is undefined when csc(x) is undefined and when sec(x) is undefined.<br>
csc(x) is undefined when sin(x) is 0, at integer multiples of pi.<br>
sec(x) is undefined when cos(x) is 0, at odd multiples of pi/2.<br>
So the smallest non-permissible value of x on the interval (0,2pi] for the given identity is pi/2.<br>
ANSWER b<br>