Question

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

csc²x-1
Let u = cscx"

Answer 1

To factor the expression csc²x-1 in terms of a single trigonometric function, we can use the identity csc²x = cot²x - 1. Let u = cscx, so our expression can be rewritten as csc²x - 1 = (cot²x - 1) - 1 = cot²x - 2. Therefore, we have factored the expression in terms of a single trigonometric function, cotx.

Step-by-step explanation:

To factor the algebraic expression csc²x-1 in terms of a single trigonometric function, we can use the identity csc²x = cot²x - 1. Let u = cscx, so our expression can be rewritten as csc²x - 1 = (cot²x - 1) - 1 = cot²x - 2. Therefore, we have factored the expression in terms of a single trigonometric function, cotx.