Question

If sinX + cosecX = 2 then sin^n + cosec^n = ?

Answer 1

Gn that ,

$\sin(x) + \csc(x) = 2$
Squaring on both sides

${( \sin(x) + \csc(x)) }^{2} = 4$
ie
${ \sin(x) }^{2} + 2 \sin(x) \csc(x) + { \csc(x) }^{2} = 4$
ie

${ \sin(x) }^{2} + { \csc(x) }^{2} = 4$
( sin and cosec are reciprocal to each other)