1.

One value of `theta` which satisfies the equation `sin^(4)theta-2sin^(2)theta-1` lies between 0 and `2pi`.

Answer» False
Given equation, `" "sin^(4)theta-2sin^(2)theta-1=0` ltBrgt `rArr" "sin^(2)theta=(2pmsqrt(4+4))/(2)`
`rArr" "sin^(2)theta=(2pm2sqrt(2))/(2)`
`rArr" "sin^(2)theta=(1+sqrt(2))or (1-sqrt(2))rArr-1lesinthetale1`
`rArr" "sin^(2)thetale1`
`because " "sin^(2)theta=sqrt(2+1)or (1-sqrt(2))`
which is not possible.


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