Find `|A| `, if `A` `=[{:( 0 , sin alpha , cos alpha),(sin alpha , 0 , sin beta),(cos alpha , -sin beta , 0):}]`

"Evaluate "Delta ={:[( 0 , sin alpha ,-cos alpha ) ,( -sin alpha , 0 , sin beta ),( cos alpha , -sin beta , 0)]:}

If A=[(sin alpha, cos alpha),(-cos alpha, sin alpha)] , then verify that A'A=I

If sin alpha + cos alpha = b, then sin 2 alpha is equal to

If cos alpha + cos beta =0 = sin alpha + sin beta , then cos 2 alpha + cos 2 beta is equal to

If A=[(cos alpha, sin alpha),(-sin alpha, cos alpha)] , then verify that A'A=I

IF tan alpha = ( sin alpha - cos alpha )/( sin alpha + cos alpha) , then sin alpha + cos alpha is

if cos alpha + sin alpha = 3/4 , then sin ^6 alpha + cos ^6 alpha =

Evaluate {:[( cos alpha cos beta , cos alpha sin beta , -sin alpha ),( -sin beta , cos beta, 0),( sin alpha cos beta, sin alpha sin beta, cos alpha ) ]:} =0

Find the inverse of each of the matrices (if it exists ) {:[( 1,0,0),( 0 ,cos alpha , sin alpha ),( 0, sin alpha , -cos alpha ) ]:}