Final answer:
The expression sin(theta) * csc(theta) * tan(theta) can be written in terms of sine and cosine as sec(theta).
Step-by-step explanation:
To write the expression sin(theta) * csc(theta) * tan(theta) in terms of sine and cosine, we need to express the other trigonometric functions in terms of sine and cosine.
Using the reciprocal identities, we have csc(theta) = 1/sin(theta) and tan(theta) = sin(theta)/cos(theta).
Substituting these values into the original expression, we get: sin(theta) * (1/sin(theta)) * (sin(theta)/cos(theta)) = 1/cos(theta).
The expression simplifies to sec(theta), which is the reciprocal of cosine.