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The value of theta lying between theta=0...

The value of `theta` lying between `theta=0` and `theta=pi/2` and satisfying the equation `|1+sin^2theta cos^2theta4sin4thetasin^2theta1+cos^2theta4sin4thetasin^2thetacos^2theta1+4sin4theta|=0a r e` `(7pi)/(24)` (b) `(5pi)/(24)` (c) `(11pi)/(24)` (d) `pi/(24)`

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The value of theta lying between theta =0 and theta=(pi)/2 and satifying the equation |{:(1+sin^2theta,cos^2theta,4sin4theta),(sin^2theta,1+cos^2theta,4sin4theta),(sin^2theta,cos^2theta,1+4sin4theta):}|=0 is then theta =

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If sin theta+sin^2theta=1 , show that cos^4theta+cos^2theta=1 .

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