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There exists a value of theta between 0 ...

There exists a value of `theta` between 0 and `2pi` that satisfies the equation `sin^4theta-2sin^2theta-1=0`

Text Solution

Verified by Experts

The correct Answer is:
False
Given`sin^(4) theta - 2sin^(2) theta + 1 = 2 `
`rArr (sin^(2) theta -1)^(2) = 2 rArr sin^(2) theta = pm sqrt(2) + 1`
which is not possible . Hence, given statement is false.
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