Question

Please answer this question :)

Answer 1

Heya!!!


We know that

1 + Tan² ( A ) = Sec² ( A )
,

1 + Cot² ( A ) = Cosec² ( A )

and

Cos ² ( A ) = 1 - Sin² ( A )


L.H.S


Sec² ( A ) + Cosec² ( A )


1 / Cos ² ( A ) + 1 / Sin² ( A )



Sin² ( A ) + Cos² ( A ) / Sin² ( A ) Cos ² ( A )


1 / Sin² ( A ) Cos ² ( A )


1 / Sin² ( A ) { 1 - Sin² ( A ) }


1 / Sin² ( A ) - Sin⁴ ( A )


Hence proved


Have a nice time.