Sec, cosec and cot are all functions in trigonometry. They are simply equal to one over on of the other functions, ie cos, sin and tan.
so
Sec = 1/cos
Cosec = 1/sin
cot = 1/tan
You can remember which is paired with which using the third letter rule. This is that the third letter is the first letter of the corresponding function ie)
sec goes with cos
cosec goes with sin
cot goes with tan
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