Question #e19c2

2 Answers
Leland Adriano Alejandro
Oct 5, 2017

It is a true trigonometric identity. There is nothing false about it.

Explanation:

#csc x=1/sin x# and
#cot x=cos x/sin x#
Therefore

#Csc x/ cot x = sec x#
#(1/sin x)/(cos x/sin x)= sec x#
#1/cos x=sec x#
#sec x=sec x#

Jim H
Oct 5, 2017

Please see below.

Explanation:

An identity is an equation that is true for all values of the variable(s) for which both sides of the equation are defined.

#cscx/cotx = secx# is true for all values of #x# for which both sides are defined. So it is an identity.

For values of the form #x = pik# for integer #k#, the left side is not defined and the right side is #+-1#.

The phrase "false about the identity"is not at all clear. I can't really make sense of it.
I suspect that the intended question is more like: "For what values of #x# do the expressions #cscx/cotx# and #secx# not give the same values?"

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