If `sintheta=K, -1<=K<=1` then number of values of theta for same value of K in`[0,2pi]`

If sintheta - costheta = 1 , then prove that sintheta + costheta =+-1

The value of |(1,sintheta,1),(-sintheta,1,sintheta),(-1, -sintheta,1)| lies in the interval :

Evalute the determinant D= |{:(" "1," "sintheta,1),(-sintheta," "1,sintheta),(-1,-sintheta,1):}| .Also prove that 2leDle4 .

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

If (1+ sintheta-costheta)/(1+ sintheta + costheta)+(1+sintheta+costheta)/(1+sintheta-costheta)= 4 , then which of the following values will be suitable for theta ?

If sintheta-costheta=1 ,then find sintheta.costheta

If sintheta + cos theta =1 , then the value of sintheta - costheta is:

If sec^2theta(1+sintheta)(1-sintheta)=k , then find the value of k .