1.

The value of `sin^(6)((pi)/(49))+cos^(6)((pi)/(49))-1+3sin^(2)((pi)/(49))cos^(2)((pi)/(49))` is equal toA. `tan^(6)((pi)/(49))`B. `cot^(6)((pi)/(49))`C. 1D. 0

Answer» Correct Answer - D
We have,
`sin^(6)((pi)/(49))+cos^(6)((pi)/(49))-1+3sin^(2)((pi)/(49))cos^(2)((pi)/(49))-sin^(6)((pi)/(49))+cos^(6)((pi)/(49))`
`+3sin^(2)((pi)/(49))cos^(2)((pi)/(49))(sin^(2)""(pi)/(49)+cos^(2)""(pi)/(49))-1`
`=(sin^(2)""(pi)/(49)+cos^(2)""(pi)/(29))^(3)-1=1-1=0`


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