First slide

Trigonometric Identities

Question

The value of the expression $\frac{\tan^{2} 20^{\circ} - \sin^{2} 20^{\circ}}{\tan^{2} 20^{\circ} \cdot \sin^{2} 20^{\circ}}$ is

Moderate

Solution

$\tan^{2} 20^{\circ} - \sin^{2} 20^{\circ} = \tan^{2} 20^{\circ} (1 - \cos^{2} 20^{\circ}) = \tan^{2} 20^{\circ} \sin^{2} 20^{\circ}$

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