Question

sec theta . cot theta = cosec theta true or false

Answer 1

yes it is true . 

sec theta = 1/cos 
cor theta = cos/sin 
1/cos multiplied by cos/ sin = cos
                                              -------------
                                               cos.sin
cos will be cut and the remaning ans will be 1/sin theta which is equal to cosec theta.

Answer 2

HEY DEAR.....
YOUR ANSWER⬇
TRUE.
# Sec theeta = 1/cos theeta.
# Cot theeta = cos theeta/sin theeta.
# Sec theeta.cot theeta
= 1/cos theeta × cos theeta/sin theeta.
= cos theeta / sin theeta.cos theeta. Cancelling cos from the numerator and the denominator.
= 1/ sin theeta.
= csc theeta.
any doubts, plz ask me in the comments.
I HOPE YOU FIND IT HELPFUL.
@ Lakshmi ;)