Factor the algebraic expression below in terms of a single trigonometric function.

sin²x + sin x-2

ANSWER

EXPLANATION

The given trigonometric function is:

This is a quadratic trinomial in sinx

We split the middle term to obtain:

The factors are:

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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