Simplify the expression cotx secx sinx

Answer 1

To simplify the expression cot(x) sec(x) sin(x), we'll first rewrite cot(x) and sec(x) in terms of sine and cosine.

Recall that cot(x) = cos(x) / sin(x) and sec(x) = 1 / cos(x).

So, cot(x) sec(x) sin(x) = (cos(x) / sin(x)) * (1 / cos(x)) * sin(x).

The cos(x) terms in the numerator and denominator cancel out, leaving us with:

= 1.

Therefore, the simplified expression is 1.