Evaluate the determinants in(i) `|(costheta,-sintheta),(sintheta,costheta)|` (ii) `|(x^2-x+1,x-1),(x+1,x+1)|`

Evaluate the determinants in (i) |costheta-sinthetasinthetacostheta| (ii) |x^2-x+1x-1x+1x+1|

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

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

Evalute the determinants in queations 1 and 2 : (i) [{:(costheta,-sintheta),(sintheta,costheta):}| (ii) |{:(x^(2),-x+1,x-1),(,x+1,x+1):}|

Evalute the determinants in queations 1 and 2 : (i) [{:(costheta,-sintheta),(sintheta,costheta):}| (ii) |{:(x^(2)-x+1,x-1),(x+1,x+1):}|

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

If A=[(costheta,-sintheta),(sintheta,costheta)] " then " A^(-1) =?

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

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