Question:medium
The value of $\frac{\tan 75^{\circ}+\tan 15^{\circ}}{\tan 75^{\circ}-\tan 15^{\circ}}$ is equal to
The value of $\frac{\tan 75^{\circ}+\tan 15^{\circ}}{\tan 75^{\circ}-\tan 15^{\circ}}$ is equal to
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Logic Tip: Another approach is substituting the known exact values: $\tan 75^{\circ} = 2 + \sqrt{3}$ and $\tan 15^{\circ} = 2 - \sqrt{3}$.
Numerator: $(2 + \sqrt{3}) + (2 - \sqrt{3}) = 4$.
Denominator: $(2 + \sqrt{3}) - (2 - \sqrt{3}) = 2\sqrt{3}$.
Result: $\frac{4}{2\sqrt{3}} = \frac{2}{\sqrt{3}}$.
Updated On: Apr 27, 2026
- $\frac{1}{\sqrt{3}}$
- $\sqrt{3}$
- 1
- $-\sqrt{3}$
- $\frac{2}{\sqrt{3}}$
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The Correct Option is
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