Find the value of $tan^{6} 60^{o} - 99 tan^{4} 30^{o} + 27 tan^{2} 30^{o} - 21$ .

4

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3

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2

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1

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Solution

The correct option is A $4$
Now,
$tan^{6} 60^{o} - 99 tan^{4} 30^{o} + 27 tan^{2} 30^{o} - 21$
$= (\sqrt{3})^{6} - 99 \times {(\frac{1}{\sqrt{3}})}^{4} + 27 \times {(\frac{1}{\sqrt{3}})}^{2} - 21$
$= 27 - 11 + 9 - 21$
$= 4$ .

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