Question

Cosec square 60 degree + cot square 60 degrees is equals to

Answer 1

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Correct Question:

$(cosec \: 60) {}^{2} + (cot \: 60) {}^{2}$

Formula Used:

$cosec \: 60 \: = \frac{2}{ \sqrt{3} } \\ cot60 \: = \frac{1}{ \sqrt{3} }$

Solution:

$= (cosec60) {}^{2} + (cot60) {}^{2} \\ \\ = ( \frac{2}{ \sqrt{3} } ) {}^{2} + ( \frac{1}{ \sqrt{3} } ) {}^{2} \\ \\ = \frac{4}{3} + \frac{1}{3} \\ \\ = \frac{4 + 1}{3} \\ \\ = \frac{5}{3}$

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