Recall the sum identity for cosine:
cos(a + b) = cos(a) cos(b) - sin(a) sin(b)
so that
cos(a + b) = 12/13 cos(a) - 8/17 sin(b)
Since both a and b terminate in the first quadrant, we know that both cos(a) and sin(b) are positive. Then using the Pythagorean identity,
cos²(a) + sin²(a) = 1 ⇒ cos(a) = √(1 - sin²(a)) = 15/17
cos²(b) + sin²(b) = 1 ⇒ sin(b) = √(1 - cos²(b)) = 5/13
Then
cos(a + b) = 12/13 • 15/17 - 8/17 • 5/13 = 140/221
I believe the answer is 6
Only because I see that I can divide 3 and 2 and I know that the answer is 6
Answer: Elijah would be 42 inches tall
Step-by-step explanation:
We all know that Samuel is 48 inches while Elijah is 6 inches shorter.
You subtract 6 from 48 to get 42.
Hopefully, this helped. :D
Answer: its 4
Step-by-step explanation: i took the quiz just now
It subtracts 2 then adds 5
