Question

(sin A + Cosec A)² =sin 2 + cosec2+ 2

Answer 1

expand L.H.S

sin2A+cosec2A+2sinAcosecA

sin2A+cosec2A+2

Answer 2

( Sin A + Cosec A )² = ( a + b )²

( a + b )² = a² + b² + 2ab

Substituting in the above formula we get,

( Sin A + Cosec A )² = Sin²A + Cosec² A + 2 Sin A . Cosec A

But we know that Cosec A = 1 / Sin A.

So Sin A * Cosec A = Sin A / Sin A = 1

Hence 2 Sin A . Cosec A = 2 * 1 = 2

Hence we get,

( Sin A + Cosec A )² = Sin²A + Cosec² A + 2

Hope my answer helped !