" 18.If "Delta=|[1,sin theta,1],[-sin theta,1,sin theta],[-1,-sin theta,1]|" ; prove that "2<=Delta<=4

let Delta=det[[1,sin theta,1-sin theta,1,sin theta-1,-sin theta,1]],0<=theta<=2 pi

If Delta=|(1, sin theta, 1 ),(-sin theta, 1, sin theta),(-1 , -sin theta, 1)| then Delta lies in the interval

Let Delta=|(1,sin theta, 1),(-sin theta, 1, sin theta),(-1,-sin theta,1)|0,le theta le 2pi . The

Let Delta(theta)=|(1, sin theta, 1),(sin theta, 1, sin theta),(-1, -sin theta , 1)|, 0 le theta le 2pi solution of Delta(theta)=3 is

If sin theta=1/2 then prove that 3sin theta-4sin^3 theta=1

sqrt((1+sin theta)/(1-sin theta))+sqrt((1-sin theta)/(1+sin theta))=2sec theta

Prove that (1+sin theta)/(1-sin theta)-(1-sin theta)/(1+sin theta)=4sec theta tan theta

Prove that (1-sin theta+cos theta)^(2)=2(1+cos theta)(1-sin theta)

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