Factor the algebraic expression below in terms of a single trigonometric function. sin 2x + sin x - 2

The factored form is (sin x +2)(sin x-1)

Step-by-step explanation:

We have been given the trigonometric function

We can factor this by AC method. In AC method we multiply the term a and c and then write the middle term b in such a way that the sum/difference is equal to the product 'ac'

Using the method, we can write sinx as 2sinx -sinx

Now, we group the first two terms and the last two terms

Now, we take GCF from each group

Factor out (sinx+2)

Therefore, the factored form is (sin x +2)(sin x-1)

The factor form is

Step-by-step explanation:

Given : Algebraic expression

To find : Factor the algebraic expression in terms of a single trigonometric function ?

Solution :

Algebraic expression

Let

So,

To factor the expression we equate it to zero,

Apply middle term split,

Substitute the value of y,

The factor form is

answer: 2530

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step-by-step explanation: