Question

solve this question ​

Answer 1

Answer:

Answer for the above question is 1/3 .

Answer 2

$3\left ( x^{2}-1/x^{2} \right )=1/3$

Step-by-step explanation:

Given,

$3x=cosec\Theta$                      $cot\Theta =3/x$

$x=cosec\Theta /3$                      $cot\Theta =1/x$

Find the value of    

$=3\left ( x^{2}-1/x^{2} \right )$

$=3\left ( \left ( cosec\Theta /3 \right )^{2} -\left ( cot\Theta /3 \right )^{2}\right )$

$=3\left ( cosec^{2}\Theta /9-cot^{2} \Theta/9 \right )$

$3/9\left ( cosec^{2} \Theta -\cot ^{2}\Theta \right )$

Use identity

$(cosec^{2}\Theta -cot^{2}\Theta =1)$

$=1/3\times 1=1/3$

$3\left ( x^{2}-1/x^{2} \right )=1/3$