How do you verify the identify #cotthetasectheta=csctheta#?

1 Answer
Aug 2, 2016

The following identities are very important:

#tanalpha = sin alpha/cosalpha#

#cscalpha = 1/sinalpha#

#secalpha = 1/cosalpha#

#cotalpha = 1/tanalpha#

Applying the aforementioned identities:

#1/(sin theta/costheta) xx 1/costheta = 1/sintheta#

#costheta/sintheta xx 1/costheta = 1/sintheta#

#cancel(costheta)/sintheta xx 1/cancel(costheta) = 1/sintheta#

#1/sintheta = 1/sintheta#

Identity proved!!

Hopefully this helps!