Introduction to...

If $$ \tan \theta = \dfrac {4}{7}$$, then $$\dfrac {7 \sin \theta - 3\cos \theta}{7\sin \theta + 3\cos \theta} = $$_____

$$\text{cosec } 69^{\circ} + \cot 69^{\circ}$$, when expressed in terms of angles between $$0^{\circ}$$ and $$45^{\circ}$$, becomes

Evaluate $$: \dfrac {\cot 63˚}{\tan 27˚}$$

Without trigonometric table, evaluate $$\dfrac {\sec 41^o}{\text{cosec } 49^o}$$

$$\sin 84^{\circ} + \sec 84^{\circ}$$ expressed in terms of angles between $$0^{\circ}$$ and $$45^{\circ}$$ becomes

$$\tan 68^{\circ} + \sec 68^{\circ}$$, when expressed in terms of angles between $$0^{\circ}$$ and $$45^{\circ}$$, becomes

$$\sin 81^{\circ} + \tan 81^{\circ}$$, when expressed in terms of angles between $$0^{\circ}$$ and $$45^{\circ}$$, becomes

If $$3\cot \theta = 4$$ then $$\dfrac {5 \sin \theta + 3 \cos \theta}{5 \sin \theta - 3 \cos \theta} = $$_____

If $$16\cot \theta = 12$$, then $$\dfrac {\sin \theta - \cos \theta}{\sin \theta + \cos \theta} = $$ _____

Find the name of the person who first produce a table for solving a triangle's length and angles.