Question : Using $\operatorname{cosec}(\alpha+\beta)=\frac{\sec \alpha \times \sec \beta \times \operatorname{cosec} \alpha \times \operatorname{cosec} \beta}{\sec \alpha \times \operatorname{cosec} \beta+\operatorname{cosec} \alpha \times \sec \beta}$, find the value of

Question : If $x\cos^{2}30^{\circ}\cdot \sin60^{\circ}=\frac{\tan^{2}45^{\circ}\cdot \sec60^{\circ}}{\operatorname{cosec}60^{\circ}}$, then the value of $x$ is:

Question : The value of $\operatorname{cosec} 30^{\circ}-\cos 60^{\circ}$ is:

Question : What is the value of $\frac{\cos 50^{\circ}}{\sin 40^{\circ}}+\frac{3 \operatorname{cosec} 80^{\circ}}{\sec 10^{\circ}}–2 \cos 50^{\circ} \operatorname{cosec} 40^{\circ}$?

Question : Find the value of the given expression.
$\frac{4}{3} \tan^2 45^{\circ}+3 \cos^2 30^{\circ}-2 \sec^2 30^{\circ}-\frac{3}{4} \cot^2 60^{\circ}$