If `3cos alpha-4sinalpha=5`, show that, `3sinalpha+4cosalpha=0` .

if tan theta=(sinalpha-cosalpha)/(sinalpha+cosalpha) show that, sin alpha+cosalpha=pmsqrt(2)cos theta

Show : [ [ cosalpha , -sinalpha ] , [ sinalpha , cosalpha ] ]= [ [1 , 0 ] , [ 0 , 1 ]]

If F(alpha)=[[cosalpha, -sinalpha, 0], [sinalpha, cosalpha, 0], [0, 0, 1]] , where alphainR , then (F(alpha))^(-1)=

For the matrix A = [(cos alpha, -sinalpha, 0),(sinalpha, cosalpha, 0),(0,0,1)] , verify that A (adj A) = |A| I.

If tantheta=(sinalpha-cosalpha)/(sinalpha+cosalpha) then show that sinalpha+cosalpha=sqrt(2)costheta .

If tantheta=(sinalpha-cosalpha)/(sinalpha+cosalpha) then show that sinalpha+cosalpha=sqrt(2)costheta .

If tantheta=(sinalpha-cosalpha)/(sinalpha+cosalpha) then show that sinalpha+cosalpha=sqrt(2)costheta .

If tantheta=(sinalpha-cosalpha)/(sinalpha+cosalpha) , then show that sinalpha+cosalpha=sqrt(2)costheta .

If A = [(cos alpha, - sinalpha),(sinalpha, cosalpha)] , then for what value of alpha , is A an identity matrix?

If 2 sinalpha+3cosalpha=2, " then " 3 sinalpha-2cosalpha = _________.