" afa "A=[[cos theta sin theta],[-sin theta cos theta]]vec varepsilon pi" fiter "(pi)/(a)sin A^(n)=[[cos n theta sin n theta],[-sin n theta cos n theta]]

If A=[[cos theta, sin theta],[ -sin theta, cos theta]] , then prove that A^n=[[cos ntheta, sinn theta],[ -sin n theta, cos n theta]] , n in N .

Show that if A = [[cos theta, sin theta],[-sin theta, cos theta]] , then A^n = [[cos n theta, sin n theta],[-sin n theta, cos n theta]]

cos m theta=sin n theta then theta=

If cos m theta = sin n theta , then theta =

cos m theta-sin n theta=0

If A=[[cos theta,sin theta-sin theta,cos theta]] then prove that A^(n)=[[cos n theta,sin n theta-sin n theta,cos n theta]],n in N

If A = [(cos theta, sin theta),(-sin theta, cos theta)] then show that for all the positive integers n, A^(n) = [(cos n theta,sin n theta),(-sin n theta,cos n theta)] .

If A = ([cos theta,sin theta],[-sin theta,cos theta]) show that A= ([cos ntheta,sin n theta],[-sin n theta,cos n theta]) n= positive integer.

If A=[(cos theta, sin theta),(-sin theta, cos theta)] , then prove that A^n=[[cosntheta,sin ntheta],[-sin ntheta,cos ntheta]], n in N