Directions
Read the following questions. Choose the right answer.
There is only ONE correct answer to each question.
For any directed angle x, we have csc²(x) − cot²(x) =
- cos²(x) − sin²(x)
- cos(x) − sin(x)
- sin²(x) + cos²(x)
- sin(x) − cos(x)
Show answer
Correct answer: C. sin²(x) + cos²(x)
Why
By the Pythagorean identity, csc²(x) − cot²(x) = 1, and 1 = sin²(x) + cos²(x).
