Question

if cosec a _ cota =1/4 then find the value of cosec a +cost a

Answer 1

use the identity
${ \csc(a) }^{2} - { \cot(a ) }^{2} = 1$
and
${a}^{2} - {b}^{2} =( a - b) \times (a + b)$
so 1/4 *X=1
X=4
where X =
$\csc(a) + \cot(a)$