Упростите ctgβ - cosβ-1/sinβ

Question

Упростите ctgβ - cosβ-1/sinβ

Answer 1

Ctgβ - (cosβ-1 / sinβ)
=> (1 / tgtβ) - (cosβ-1 / sinβ)
=> (cosβ / sinβ) - (cosβ-1/sinβ)
=> (Cosβ - cosβ + 1) / sinβ
=> 1 / sinβ
=> cscβ