sec
x
tan
x
=
csc
x
Explanation:
Let's use the definitions of
sec
x
and
tan
x
to simplify this. We know
sec
x
=
1
cos
x
and
tan
x
=
sin
x
cos
x
. Let's plug these values into our original expression. we get
1
cos
x
sin
x
cos
x
=
1
cos
x
sin
x
cos
x
⇒
1
sin
x
⇒
csc
x
Therefore,
sec
x
tan
x
=
csc
x
Hope this helps!
