if cos Q=5/9, find 5/9

5/9

arccos 5/9 is quite another thing, it is equal to 56.25 deg

cos(Q)=5/9

cos inverse both sides
cos^-1(cos(Q))=cos^-1(5/9)
cos^-1(cos(Q))=Q, based on inverse properity

Q=cos^-1(5/9)

To find the value of 5/9, there's no need to solve for Q. The expression 5/9 is already in its simplest form, representing the fraction where 5 is the numerator and 9 is the denominator. So, 5/9 is already its own value.