Aspire Faculty ID #14028 · Topic: JAMIA MILLIA ISLAMIA MCA 2019 · Just now
JAMIA MILLIA ISLAMIA MCA 2019

$\cot x - \cot 2x + \cot 3x - \cot 3x \cdot \cot 2x \cdot \cot x$ equals:

Solution

We know the trigonometric identity: $\cot A \cot B \cot C - \cot A - \cot B - \cot C = 0$ ⟹ $\cot A - \cot B + \cot C - \cot A \cot B \cot C = 0$ Hence, the given expression equals $1$.
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