The inequality `2^(sintheta)+2^(costheta)ge2^(1-1/sqrt(2))`,holds for all real values of `theta`

Minimum value of cos2theta+costheta for all real value of theta is

Minimum value of cos2theta+costheta for all real value of theta is

If (costheta-sintheta)/(costheta+sintheta)=(1-sqrt(3))/(1+sqrt(3)) , then find the value of theta .

If for the matrix A=[(costheta, 2sintheta),(sintheta,costheta)],A^(-1)=A^(T) then number of possible value(s) of theta in [0, 2pi] is :