Covert into scientific notation?
Answer:
it is correct they weigh the same
Step-by-step explanation:
Answer:
![\cos(x - y) = \cos(x)\cos(y) + \sin(x)\sin(y)](https://tex.z-dn.net/?f=%5Ccos%28x%20-%20y%29%20%3D%20%5Ccos%28x%29%5Ccos%28y%29%20%2B%20%5Csin%28x%29%5Csin%28y%29)
Step-by-step explanation:
Given
![\cos(x - y)](https://tex.z-dn.net/?f=%5Ccos%28x%20-%20y%29)
Required
State the formula
From trigonometry identity, the formula of
is:
![\cos(x - y) = \cos(x)\cos(y) + \sin(x)\sin(y)](https://tex.z-dn.net/?f=%5Ccos%28x%20-%20y%29%20%3D%20%5Ccos%28x%29%5Ccos%28y%29%20%2B%20%5Csin%28x%29%5Csin%28y%29)
Step-by-step explanation:
A Maclaurin series is a Taylor series that's centered at 0.
f(x) = ∑ₙ₌₀°° f⁽ⁿ⁾(0) / n! xⁿ
If we substitute f⁽ⁿ⁾(0) = (n + 1)!:
f(x) = ∑ₙ₌₀°° (n + 1)! / n! xⁿ
f(x) = ∑ₙ₌₀°° (n + 1) xⁿ
Use ratio test to find the radius of convergence.
lim(n→∞)│aₙ₊₁ / aₙ│< 1
lim(n→∞)│[(n + 2) xⁿ⁺¹] / [(n + 1) xⁿ]│< 1
lim(n→∞)│(n + 2) x / (n + 1)│< 1
│x│< 1
R = 1