Final answer:
To simplify the given expression, (sin a cos a)/(sec a csc a), you can rewrite the trigonometric functions in terms of sine and cosine. After simplifying, the expression becomes sin^2 a cos^2 a.
Step-by-step explanation:
To simplify the expression (sin a cos a)/(sec a csc a), we can rewrite the trigonometric functions in terms of sine and cosine. Recall that sec a = 1/cos a and csc a = 1/sin a. Substituting these values, we have:
(sin a cos a)/(1/cos a * 1/sin a)
Simplifying further,
(sin a cos a * cos a * sin a) = sin^2 a cos^2 a