If $sin^{4}\theta + cos^{4}\theta$ = $2 sin^{2}\theta cos^{2}\theta$, $\theta$ is an acute angle, then the value of $tan\theta$ is
1). 1
2). 2
3). $\sqrt{2}$
4). 0
sin4 $\theta$ + cos4 $\theta$ = 2 sin2 $\theta$. cos2$\theta$
=> sin4 $\theta$ + cos4 $\theta$– 2 sin2 $\theta$. cos2 $\theta$ = 0
=> (sin2 $\theta$ – cos2 $\theta$)2 = 0
=> sin2 $\theta$ – cos2 $\theta$ = 0
=> sin2 $\theta$ = cos2 $\theta$
= tan2 $\theta$ = 1 => tan $\theta$ = + 1
$\theta$ is acute angle..
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