x prop=[[cos alpha,sin alpha],[-sin alpha,cos alpha]]_((1)/(2x^(2)))than(A_(alpha))^(n)

A=[[Cos alpha,sin alpha],[-Sin alpha,cos alpha]] then A^(2)

A=[[cos alpha,sin alpha],[-sin alpha,cos alpha]] find [A^(2)(alpha)]^(-1)

If A_(alpha)=[[cos alpha,sin alpha-sin alpha,cos alpha]]. Prove that

A_(alpha )= [(cos alpha, sin alpha),(- sin alpha, cos alpha)] then prove that (A_(alpha)^(n) = A(n alpha) " where " n in N

Let A_(alpha)=[[cos alpha,-sin alpha,osin alpha,cos alpha,00,0,1]]

If A_(alpha)=[[cos alpha, sin alpha],[ -sin alpha , cos alpha]] , then prove that i) A_(alpha ). A_(beta)=A_(alpha + beta) ii) (A_alpha)^n=[[cos n alpha, sin n alpha],[ -sin n alpha, cos n alpha]] for every positive integer n .

If A_(alpha)=[cos alpha sin alpha-sin alpha cos alpha], then prove that (A_(alpha))^(n)=[cositive in n alpha-s in n alpha cos n alpha] for every positive integer n.

sin alpha-sin2 alpha+sin3 alpha=4cos(3 alpha)/(2)cos alpha sin(alpha)/(2)

If A(alpha)=[(cos alpha, sin alpha),(-sin alpha, cos alpha)] then the matrix A^(2)(alpha) is

cos alpha,-sin alpha,1sin alpha,cos alpha,1cos(alpha+beta),-sin(alpha+beta),1]|