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Maths-

General

Easy

Question

If $fraction numerator sin cubed space theta minus cos cubed space theta over denominator sin space theta minus cos space theta end fraction minus fraction numerator cos begin display style space end style theta over denominator square root of open parentheses 1 plus cot squared space theta close parentheses end root end fraction$ -2 tan $theta cot space theta equals negative 1 comma theta element of left square bracket 0 comma 2 pi right square bracket$ then

$θ \in (0, π / 2) - {π / 4}$
$θ \in (\frac{π}{2}, π) - {3 π / 4}$
$θ \in (π, \frac{3 π}{2}) - {5 π / 4}$
$θ \in (0, π) - {π / 4, π / 2}$

The correct answer is: $theta element of left parenthesis 0 comma pi right parenthesis minus left curly bracket pi divided by 4 comma pi divided by 2 right curly bracket$

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