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True-or-False :One value of $\theta$ which satisfies the equation $\sin ^4\theta-2\sin ^2\theta-1$ lies between 0 and $2\pi$

$\begin{array}{1 1}(A)\;\text{True}\\(B)\;\text{False}\end{array} $

1 Answer

$\sin ^4\theta-2\sin ^2\theta-1=0$
$(\sin ^2+1)(\sin ^2-1)=0$
$\sin ^4\theta-1=0$
Value of $\theta$ between $\large\frac{\pi}{2}$ and $\large\frac{3\pi}{2}$
Hence the given statement is False
answered May 20, 2014 by sreemathi.v
 

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