Why are you switching names ?
Please stick with one name.
Which expression is equivalent to csc x - sin x?
2 answers
csc x - sin x
= 1/sinx - sinx
= (1 - sin^2 x)/sinx
= cos^2 x /sinx
= (cosx/sinx) /sinx
= cotx cscx
= 1/sinx - sinx
= (1 - sin^2 x)/sinx
= cos^2 x /sinx
= (cosx/sinx) /sinx
= cotx cscx