if sinx+cosecx=2 then sin*8x+ cosec*8 x=
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Sin x+cosec x=2
Sin x + 1/sin x =2
Sin^2 x +1=2sin x
Sin^2 x -2sin x + 1 =0
(Sin x -1)^2 =0
(Sin x - 1) =0
Sin x= 1
Sin^8 x+cosec^8
= (sin x) ^8 + (1/sin x) ^8
=1^8+1^8
= 1 +1
= 2
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