The maximum value of `|(1,1,1),(1,1+sintheta,1),(1,1,1+costheta)|` is `1/2` Is it true or false

Find the maximum value of : {:|(1,1,1),(1,1+sintheta,1),(1,1,1+costheta)|

Fill in the blanks : The minimum value of |(1,1,1),(1,1+sintheta,1),(1,1,1+costheta)| is …………. .

The maximum value of Delta=|(1,1,1),(1,1+sintheta,1),(1+costheta,1,1)| is ( theta is real number ) :

The maximum value of Delta=|{:(1,1,1),(1,1-sintheta,1),(1+costheta,1,1):}| is ( theta is real number) ".........."

Find the maximum value of |[1, 1, 1],[ 1, 1+sintheta,1],[ 1, 1, 1+costheta]|

The maximum value of =|[1, 1, 1], [1, 1+sintheta,1], [1+costheta,1, 1]| (theta is real) (a) 1/2 (b) (sqrt(3))/2 (c) sqrt(2) (d) -(sqrt(3))/2

The value of (sintheta)/(1+costheta)+(sintheta)/(1-costheta) is :

Prove: (costheta)/(1-sintheta)=(1+sintheta)/(costheta)