If `asintheta+bcostheta=c` then prove that `acostheta-bsintheta=sqrt(a^2+b^2-c^2)`

Explanation

To prove that if \( a \sin \theta + b \cos \theta = c \), then \( a \cos \theta - b \sin \theta = \sqrt{a^2 + b^2 - c^2} \), we will follow these steps:

### Step 1: Write down the given equation
We start with the given equation:
\[ a \sin \theta + b \cos \theta = c \]

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