[" Let "A=(cos alpha-sin alpha),(alpha in R)" such that "A^(3 alpha)=([0,-1],[1,0])" .Then a value of "alpha" is: "],[" firm "A-(cos alpha-sin alpha)" ,(cos "D" ) "]

Let A=([cos alpha,-sin alphasin alpha,cos alpha]),(alpha in R) such that A^(32)=([0,-11,0]). Then a value of alpha is:

Let A = [{:("cos"alpha, -"sin"alpha), ("sin"alpha, "cos"alpha"):}], (alpha in R) such that A^(32) = [{:(0, -1), (1, 0):}] . Then, a value of alpha is

If A=[{:(cos alpha,sin alpha),(-sin alpha, cos alpha):}] and A^(-1)=A ' then find the value of alpha .

(sin 5 alpha-sin3alpha)/(cos 5 alpha+2 cos 4 alpha+cos 3alpha)=

If A=[(cos alpha, -sin alpha, 0),(sin alpha, cos alpha,0),(0,0,1)] then A^(-1) is

If A=[(cos alpha, - sin alpha, 0),(sin alpha, cos alpha, 0),(0,0,1)] then (AdjA)^(T)=

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

Let A = [{:(cos alpha,- sin alpha ), ( sin alpha , cos alpha ):}], (a in R) such that A ^(32) = [{:(0,-1), (1, 0):}] is the value of alpha is (pi)/(2^(k)), then the value of k is

If F(alpha)=|(cos alpha, -sin alpha, 0),(sin alpha, cos alpha, 0),(0,0,1)| then det F(alpha)=