Tricky Trig Simplification, or so I think

[lowry]

Homework Statement

Simplify:

sin^3(x) - tan^2(x) - cot^2(x) - cos^2(x) + 1 - sin(x)

Homework Equations

n/a

The Attempt at a Solution

I don't know where to go after I get to:

sin(x)[sin(x) - cos^2(x)] - tan^2(x) - cot^2(x)

 

[jkristia]

I think it might help to replace cos^2 with (1 - sin^2), and it might help to replace cot with cos/sin and tan with sin/cos