`tantheta=[sinalpha-cosalpha]/[sinalpha+cosalpha]`

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

If tantheta=(sin alpha-cos alpha)/(sinalpha+cosalpha)1 then

costheta-sintheta=cosalpha-sinalpha

If A_(alpha)=[(cosalpha,-sinalpha),(sinalpha,cosalpha)] , then

Consider the matrix A_(alpha)=[(cosalpha,-sinalpha),(sinalpha,cosalpha)] Show that A_(alpha)A_(beta)=A_(alpha+beta)

If A=[[cosalpha, sinalpha], [-sinalpha, cosalpha]] , then A^(10)=

Evaluate the following: |[cosalpha, sinalpha],[sinalpha, cosalpha]|

Evaluate the following: |[cosalpha, sinalpha],[sinalpha, cosalpha]|

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

If A=[[cosalpha, sinalpha], [-sinalpha, cosalpha]] and A(adjA)=[[k, 0], [0, k]] , then k=