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$$\cot 1^{\circ} \cot 2^{\circ} ...... \cot 89^{\circ} = $$

Find the value of $$\tan 10^{\circ} \tan 15^{\circ} \tan 75^{\circ} \tan 80^{\circ} $$

$$\text{cosec } (75^{\circ} + \theta) - \sec (15^{\circ} - \theta) =$$

If $$\tan 2A = \cot (A - 21^{\circ})$$, where $$2A$$ is an acute angle, then $$\angle A =$$ ____

$$\tan 1^{\circ} \tan 2^{\circ} \tan 3^{\circ} ... \tan 89^{\circ} = $$

$$\tan 5^{\circ} \tan 25^{\circ} \tan 30^{\circ} \tan 65^{\circ} \tan 85^{\circ} =$$

Find the value of : $$\dfrac {\cos 38^{\circ} \csc 52^{\circ}}{\tan 18^{\circ} \tan 35^{\circ} \tan 60^{\circ} \tan 72^{\circ} \tan 55^{\circ}} =$$

Evaluate: $$\dfrac {\tan 30^{\circ}}{\cot 60^{\circ}}$$

$$\cos 75^{\circ} + \cot 75^{\circ}$$, when expressed in terms of angles between $$0^{\circ}$$ and $$30^{\circ}$$, becomes

Without trigonometric table, evaluate $$\dfrac {\cot 63^{\circ}}{\tan 27^{\circ}}$$