Solve the following: Fing` theta` ,if ` [[sintheta],[costheta],[theta]][sintheta,costheta,theta]=[17]`

Select and write the correct answer from the given alternatives in each of the following:If [theta,sintheta,costheta][[theta],[sintheta],[costheta]]=[26] then theta is

Solve the following:Show that (costheta+isintheta)^3=cos3theta+isin3theta

Prove the following: (sintheta+cosectheta)^2+(costheta+sectheta)^2=Tan^2theta+cot^2theta+7

Show that: |(sintheta,costheta),(-costheta,sintheta)| =1

(sintheta+sin 2theta)/(1+costheta+cos2theta)=

Show that AB=BA where, A=[[costheta,sintheta],[-sintheta,costheta]],B=[[costheta,-sintheta],[sintheta,costheta]]

Check whether the following matrix is invertible or not. [[costheta,sintheta],[-sintheta,costheta]]

int((sintheta+costheta))/sqrt(sin2theta)"d"theta=

Simplify costheta[[costheta,sintheta],[-sintheta,costheta]+sintheta[[sintheta,-costheta],[costheta,sintheta]]

Show that AB=BA if A=[[costheta,sintheta],[-sintheta,costheta]],B=[[costheta,-sintheta],[sintheta,costheta]]