If `alphaa n dbeta` are the solutions of `acostheta+bsintheta=c ,` then show that `"cos"(alpha+beta)=(a^2-b^2)/(a^2+b^2)` (ii) `cos(alpha-beta)=(2c^2-(a^2+b^2))/(a^2+b^2)`

Explanation

To solve the problem, we need to show two identities involving the angles α and β, which are the solutions of the equation \( A \cos \theta + B \sin \theta = C \).

### Step 1: Rearranging the Given Equation
We start with the equation:
\[ A \cos \theta + B \sin \theta = C \]
Rearranging gives:
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