Final answer:
To factor the expression sin^2x + sinx - 2, we can rewrite it as (sinx - 1)(sinx + 2), which is expressed in terms of a single trigonometric function.
Step-by-step explanation:
To factor the algebraic expression sin^2x + sinx - 2 in terms of a single trigonometric function, we need to find a trigonometric expression that is equivalent to the given expression. Let's look at the expression sin^2x + sinx - 2 and try to factor it.
By factoring the quadratic expression sin^2x + sinx - 2, we can rewrite it as (sinx - 1)(sinx + 2). Therefore, the given expression can be factored as (sinx - 1)(sinx + 2), which is expressed in terms of a single trigonometric function.