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

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

Evaluate the following determinants: |x-7x5x+1| (ii) |costheta-sinthetasinthetacostheta| |cos15^0sin15^0sin75^0cos75^0| (iv) |a+i b c+i d-c+i d a-i b|

Evaluate the following determinants: |x-7x5x+1| (ii) |costheta-sinthetasinthetacostheta| |cos15^0sin15^0sin75^0cos75^0| (iv) |a+i b c+i d-c+i d a-i b|

Evaluate the following determinants: |x-7x5x+1| (ii) |costheta-sinthetasinthetacostheta| |cos15^0sin15^0sin75^0cos75^0| (iv) |a+i b c+i d-c+i d a-i b|

Evaluate the determinants (i) {:[( cos theta , -sin theta ),( sin theta , cos theta ) ]:}" " (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):}|

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

Find the value of the determinants (i) {:[( cos theta , -sin theta ),( sin theta , cos theta ) ]:}" " (ii) {:[( x^(2) -x+1,x-1),( x+1,x+1) ]:}

Evaluate: (i) |(5 ,4),(-2, 3)| (ii) |(sintheta,costheta),(-costheta,sintheta)| (iii) |(x-1, 1),(1,x^2+x+1)|