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Factor the algebraic expression below in terms of a single trigonometric function. Sin^2x + Sinx - 2​

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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.

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