Question 40
Let $\sin \alpha + \sin \beta = 1$ and $\cos \alpha + \cos \beta = -\sqrt{3}$.
a. Compute the value of the expression $\cos (\alpha - \beta)$.
b. Find all pairs of real numbers $\alpha$ and $\beta$ that satisfy the given equations.
a. Compute the value of the expression $\cos (\alpha - \beta)$.
b. Find all pairs of real numbers $\alpha$ and $\beta$ that satisfy the given equations.