Kako dokazati csctheta / sintheta = csc ^ 2theta?

Kako dokazati csctheta / sintheta = csc ^ 2theta?
Anonim

Odgovor:

Lako! Samo zapamti to # 1 / sin theta = csc theta # i naći ćete to #csc theta / sin theta = csc ^ 2 theta #

Obrazloženje:

Da to dokažem #csc theta / sin theta = csc ^ 2 theta #, to moramo zapamtiti #csc theta = 1 / sin theta #

Dokaz: #csc theta / sin theta = csc ^ 2 theta #

# (1 / sin theta) / sin theta = csc ^ 2 theta #

# 1 / sin theta * 1 / sin theta = csc ^ 2 theta #

# 1 / sin ^ 2 theta = csc ^ 2 theta #

Tako, # csc ^ 2 theta = csc ^ 2 #

Izvoli:)