Consider the given equation.
cot(y)/
sec(y)
= csc(y) − sin(y)
(a) Verify algebraically that the equation is an identity.
???
(b) Confirm graphically that the equation is an identity.
????
cot y
_____ =
sec y
cos y / sin y
___________ =
1 / cos y
cos y cos y
_____ * ______ =
sin y 1
cos^2 y
________ =
sin y
1 - sin^2 y
_________ =
1
____ - sin y =
csc y - sin y
Here's the graph :
https://www.desmos.com/calculator/rpczckxvae