Question

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Evaluate 4 cosec² 60° - 16 tan²30°

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Answer 1

Evaluted :-

$4 {cosec}^{2} 60° = 16 {tan}^{2} 30° \\ 4 \times ( \frac{2}{ \sqrt{3} } ) ^{2} = 16 \times ({ \frac{1}{ \sqrt{3} } }^{2}) \\ \\ 4 \times \frac{4}{3 } = 16 \times \frac{1}{3} \\ \\ \frac{16}{3} = \frac{16}{3} \\ \\ LHS = RHS \:$

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Answer 2

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• Evaluate 4 cosec² 60° - 16 tan²30°

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➪ 4 cosec² 60° - 16 tan²30°

$= 4( \frac{2}{ \sqrt{3} } ) {}^{2} - 16( \frac{1}{ \sqrt{3} } ) {}^{2}$

$= \frac{16}{3} - \frac{16}{3} = 0$

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