JEE MAIN - Mathematics (2025 - 23rd January Morning Shift - No. 8)
The value of $\left(\sin 70^{\circ}\right)\left(\cot 10^{\circ} \cot 70^{\circ}-1\right)$ is
0
2/3
1
3/2
Explanation
$$\begin{aligned}
& \sin 70^{\circ}\left(\cot 10^{\circ} \cot 70^{\circ}-1\right) \\
& \Rightarrow \frac{\cos \left(80^{\circ}\right)}{\sin 10}=1
\end{aligned}$$
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