Issue with sympy

Question

Why when I try to get this diff:

I get not expected result

The result was meant to be:

I try diff(sin(x)**tan(x)) and simplify is there any way to get The value I expected Above

Answer 1

You can get the form that you expected if you simplify and then rewrite the cos to sec:

In [7]: diff(sin(x)**tan(x), x).trigsimp().rewrite(cos, sec)
Out[7]: 
⎛               2       ⎞    tan(x)   
⎝log(sin(x))⋅sec (x) + 1⎠⋅sin      (x)