How do you use the fundamental identities to simplify #cotthetasectheta#?

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Answer 1 · 2017-03-30T05:38:32

#csctheta#

Identities to know:
#cottheta=costheta/costheta#

#sectheta=1/costheta#

#csctheta=1/sintheta#

#cotthetasectheta=costheta/sintheta1/costheta=1/sintheta=csctheta#

Answer 2 · 2017-03-30T05:42:45

#cotthetasectheta=csctheta#

As #cottheta=costhea/sintheta# and #sectheta=1/costheta#

#cotthetasectheta=costheta/sinthetaxx1/costheta#

#=cancelcostheta/sinthetaxx1/cancelcostheta#

= #1/sintheta#

= #csctheta#