Question

If 3a = cosec x and 3/a = cot x, find the value of 3(a2 - 1/a2)​

Answer 1

$\csc(x) = \frac{r}{y} = \frac{3a}{1} \\ \cot(x) = \frac{x}{y} = \frac{3}{a} \\ y = a = 1 \\ \\ 3( {a}^{2} - \frac{1}{{a}^{2} } ) \\ 3( {1}^{2} - \frac{1}{ {1}^{2} } ) \\ = 0$