Prove the identity? (cos(x) - sin(x)) ^2=1-2sin(x)cos(x
2 Answers
See below.
Explanation:
Expand
Thus far, we have
Recall the identity
Rearranging a bit, we see this shows up in our expression:
Apply the identity:
Here's the identity to prove:
Here are the identities I used to solve this problem:
Here's the proof. I'll start with the left side and transform it until it looks exactly like this right side.
This is what we had to prove. Hope this helped!