If `costheta-sintheta=1/5,` where 0

If costheta:sintheta=1:2 , then find the value of (8costheta-2sintheta)/(4costheta+2sintheta)

costheta -sintheta -cottheta +1=0

If 3cottheta=1 , then find the value of (3costheta-4sintheta)/(5sintheta+4costheta) .

If sintheta-costheta=1, then the value of sin^3theta-cos^3theta is __________

If A=[[costheta,sintheta],[-sintheta,costheta]],then Lim_(x_>oo)1/nA^n is

If A=[{:(costheta,sintheta),(sintheta,-costheta):}] , B=[{:(1,0),(-1,1):}] , C=ABA^(T) , then A^(T)C^(n)A equals to (n in I^(+))

If costheta +sintheta =sqrt2costheta , show that costheta -sintheta =sqrt2sintheta .

If A = [(costheta,-sintheta),(sintheta,costheta)] , then the matrix A^(-50) , when theta = (pi)/(12) , is equal to

Prove that sum_(r=1)^n(1/(costheta+"cos"(2r+1)theta))=(sinntheta)/(2sintheta* costheta*cos (n+1)theta),(w h e r e n in N)dot

If sintheta+costheta=1/5"and"0 le theta ltpi, then tantheta is