Find the value of the determinants (i) ...

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) ]:}`

Verified by Experts

The correct Answer is:

` 1`
` x^(3) , -x^(2) +2`

Similar Questions

Explore conceptually related problems

(1-cos theta)/(sin theta)=(sin theta)/(1+cos theta)

x = a cos theta, y = b sin theta .

Show that (1)/( cos theta ) -cos theta =tan theta .sin theta

Imaginary part of (1)/(1+cos theta-i sin theta) is

(sin theta)/(1+cos theta)+(sin theta)/(1-cos theta)= _______

If 4 tan theta = 3, Evaluate [ (4 sin theta - cos theta +1)/(4 sin theta+ cos theta -1)]

The locus of the point x=a(cos theta+sin theta) y=b (cos theta-sin theta) is

Prove that the determinant {:|( x, sin theta ,cos theta ),( -sin theta , -x , 1),( cos theta , 1,x) |:} is independent of θ.

(1+cos theta+i sin theta)^(10)+(1+cos theta-i sin theta)^(10)=