[" 12The relacedeliping between "6" - "],[[" Ar-owation "|[1+cos^(2)theta,sin^(2)theta],[cos^(2)theta],[4sin4 theta],[sin^(2)theta]],[cos^(2)theta,sin^(2)theta],[sin4 theta]|],[" (c) "-11*(pi)/(24)," (2) "7(pi)/(24)" is "5*(pi)/(24)]

If f(theta)=|[cos^(2)theta,cos theta sin theta,-sin theta],[cos theta sin theta,sin^(2)theta,cos theta],[sin theta,-cos theta,0]| , then f((pi)/(12))

If |[1+sin^(2)theta,cos^(2)theta,4sin4theta],[sin^(2)theta, 1+cos^(2)theta,4sin4theta],[sin^(2)theta,cos^(2)theta, 1+4sin4theta]|=0 , then the value of theta is

The value of theta lying between 0 and (pi)/(2), and satisfying ,,1+sin^(2)theta,cos^(2)theta,4sin4 thetasin^(2)theta,1+cos^(2)theta,4sin4 thetasin^(2)theta,cos^(2)theta,1+4sin4 theta]|=0

I=int_(0)^( pi/4)(sin2 theta)/(sin^(2)theta+cos^(4)theta)d theta

If sin theta+sin ^(2) theta+sin ^(3) theta=1 then cos ^(6) theta-4 cos ^(4) theta+8 cos ^(2) theta=

The value of theta lying between 0 and pi/2 and satisfying the equation |[1+sin^2theta,cos^2theta,4sin4theta] , [sin^2theta,1+cos^2theta,4sin4theta] , [sin^2theta,cos^2theta,1+4sin4theta]|=0 (A) (7pi)/24 or (11pi)/24 (B) (5pi)/24 (C) pi/24 (D) none

The value of theta lying between 0 and pi/2 and satisfying the equation |(1+cos^2theta, sin^2theta, 4sin4theta),(cos^2theta, 1+sin^2theta, 4sin4theta),(cos^2theta, sin^2theta, 1+4sin4theta)|=0 is (are) (A) (7pi)/24 (B) (3pi)/8 (C) (11pi)/24 (D) (7pi)/12