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The value of $$\tan ^{ 2 }{ 60^0 }  \text {cosec}^{ 2 }{45^0}+\sec ^{ 2 }{ 45^0 } \sin { 30 ^0}$$ is 

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Find the value of $$\displaystyle \left( \frac{3  \cos  43^{\circ}}{\sin  47^{\circ}} \right)^2 -\frac{\cos  37 ^{\circ}.  \text{cosec}  53^{\circ}}{\tan  5^{\circ}.  \tan  25^{\circ}. \tan  45^{\circ}.  \tan  65^{\circ}  \tan  85^{\circ}} $$

The value of $$\displaystyle\frac{3}{4}\tan^230^{\small\circ} - 3\sin^260^{\small\circ} + cosec^245^{\small\circ}$$ is

If $$\sec 4A = cosec (A-20^{\small\circ})$$, where $$4A$$ is an acute angle, find the value of $$A$$.

The value of $$2\tan^260^{\small\circ} - 4\cos^245^{\small\circ} - 3\sec^230^{\small\circ}$$ is

Say yes or no.

$$\tan48^{\small\circ}\tan23^{\small\circ}\tan42^{\small\circ}\tan67^{\small\circ} = 1$$

In $$\triangle ABC$$, $$\angle B = 90^{\small\circ}$$. If $$AB = 14\space cm$$ and $$AC = 50\space cm$$ then $$\tan A$$ equals:

If $$\sin\theta - \cos\theta = 0$$, then the value of $$(\sin^4\theta + \cos^4\theta)$$ is

$$\sin30^{\small\circ} + \cos60^{\small\circ}$$ equals