Trigonometric Expression with Cotangent (Jee Ma…

Basic Ratios, Identities & Formulas

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Trigonometric Expression with Cotangent

If cot x = $\frac{5}{{12}}$ for some x∈ $\left( {\pi ,\frac{{3\pi }}{2}} \right)$ , then sin7x $\left( {\cos \frac{{13x}}{2} + \sin \frac{{13x}}{2}} \right)$ + cos7x $\left( {\cos \frac{{13x}}{2} - \sin \frac{{13x}}{2}} \right)$ is equal to

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