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Trigonometric Functions and Equations question

2025 · Shift 2 · Q31

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PYQ Library
JEE Advanced
Mathematics
Trigonometric Functions and Equations
2025 · Shift 2 · Q31

Trigonometric Functions and Equations question

2025 · Shift 2 · Q31

JEE AdvancedMathematicsTrigonometric Functions and EquationsNumerical+4 / −1

Let

\alpha=\frac{1}{\sin 60^{\circ} \sin 61^{\circ}}+\frac{1}{\sin 62^{\circ} \sin 63^{\circ}}+\cdots+\frac{1}{\sin 118^{\circ} \sin 119^{\circ}}

Then the value of

\left(\frac{\operatorname{cosec} 1^{\circ}}{\alpha}\right)^2

is

\underline{\hspace{2cm}}

.

Numerical answer

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