Without using a calculator, find the exact value of each of the following. \(\sin 45^{\circ} - \cos

Question

Without using a calculator, find the exact value of each of the following. $\sin 45^{\circ} - \cos 30^{\circ}$ $\frac{\sin 30^{\circ} + \cos 60^{\circ}}{\tan 30^{\circ}}$ $\tan 60^{\circ} - \sin 90^{\circ}$ $\frac{\tan 30^{\circ} \cos 45^{\circ}}{\tan 60^{\circ} \sin 30^{\circ}}$

Accepted Answer

(i) $\dfrac{\sqrt2-\sqrt3}{2}$ (ii) $\sqrt3-1$ (iii) $\sqrt3$ (iv) $\dfrac{\sqrt2}{3}$

Trigonometry - Exact Trigonometric Values and the Unit Circle

Trigonometry - Exact Trigonometric Values and the Unit Circle

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