" Simplify "((cos alpha+i sin alpha)^(4))/((sin beta+i cos beta)^(8))

Express the following in a + ib form: ((cos alpha + i sin alpha)^(4))/((sin beta + i cos beta)^(5))

Express the following in a+ib form: ((cos alpha+i sin alpha)^(4))/((sin beta+i cos beta)^(5))

Express the following in a + ib form: (a) ((cos alpha + i sin alpha)^(4))/((sin beta + i cos beta)^(5)) (b) ((1+ cos phi + i sin phi)/(1 + cos phi - isin phi))^(n) (c) ((cos alpha + i sin alpha)(cos beta + i sin beta))/((cos gamma + i sin gamma)(cos delta + i sin delta))

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

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

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

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 ) |:} =1

1. Find the distance between the following points.(i) (a cos alpha, a sin alpha) and (a.cos beta, a sin beta)

The real part of |(cos alpha+isin alpha, cos beta+ i sin beta),(sin beta+i cos beta, sin alpha +icos alpha)| is