# will award best answer circular funtions help?

What is the range of the function y = |2cscθ| - 1?

### 1 Answer

Relevance

- PuzzlingLv 76 months agoFavorite Answer
We know:

csc θ = 1 / sin θ

Since -1 ≤ sin θ ≤ 1, the reciprocal will be:

csc θ ≤ -1 or csc θ ≥ 1

If you double it:

2 csc θ ≤ -2 or 2 csc θ ≥ 2

When you take the absolute value, you get:

|2 csc θ| ≥ 2

And then when you subtract 1, you get:

|2 csc θ| - 1 ≥ 1

Answer:

[1, ∞)

Still have questions? Get your answers by asking now.