Final answer:
To simplify sin(x)sec(x), use the reciprocal identity for sec(x) and then simplify the expression to tan(x).
Step-by-step explanation:
To simplify sin(x)sec(x), we can use the reciprocal identity that sec(x) = 1/cos(x). Therefore, the expression becomes:
sin(x)sec(x) = sin(x)(1/cos(x)) = sin(x)/cos(x)
Next, we can use the identity sin(x)/cos(x) = tan(x), where tan(x) represents the tangent function. So, the simplified expression is:
tan(x)