If `|[cos theta,-1,1],[cos2 theta,4,3],[2,7,7]|=0` then the number of values of `theta` in `[0,2 pi]`

If |(cos theta,-1,1),(cos2 theta,4,3),(2,7,7)|=0 , then the number of values of theta in [0, 1pi] is

If sin^2 theta = 1+cos^6 theta then number of values of theta in range (0, 2pi) is

If the points (-2, 0), (-1,(1)/(sqrt(3))) and (cos theta, sin theta) are collinear, then the number of value of theta in [0, 2pi] is

If (cos^(3) theta )/( (1- sin theta ))+( sin^(3) theta )/( (1+ cos theta ))=1+ cos theta , then number of possible values of theta is ( where theta in [0,2pi] )

The system has non trivial solution if |{:("sin"3theta,-1,1),("cos"2theta,4,3),(2,7,7):}| =0 then theta =

If 7sin^2 theta + 3 cos^2 theta = 4 , then the value of cos theta(0^@le theta le 90^@) is

If 5cos2theta+2"cos"^(2)(theta)/(2)+1=0 , when (0ltthetaltpi) , then the values of theta are

If 5cos2 theta+2cos^(2)((theta)/(2))+1=0-pi