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Question

If sin x +cosec x =2, then write the value of sinnx+cosecnx.

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Solution

sin x +cosec x =2

sinx+1sinx=2

1+sin x=2 sin x

sin x =1

cosec x =1

sinnx+cosecnx=(sinx)n+(cosecx)n

=1+1 =2


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