Simplify tanx cscx

To simplify tan(x) csc(x), we can use the trigonometric identity:

tan(x) = sin(x) / cos(x)
csc(x) = 1 / sin(x)

Substituting these values into the expression gives us:

tan(x) csc(x) = (sin(x) / cos(x)) * (1 / sin(x))

The sin(x) cancels out, leaving us with:

tan(x) csc(x) = 1 / cos(x)

Therefore, tan(x) csc(x) simplifies to 1 / cos(x), or sec(x).