If `theta` is eliminated from the equations `x=a"cos"(theta-alpha)` and `y=bcos(theta-beta),` then `(x^2/a^2)+(y^2/b^2)-(2xy)/(ab)cos(alpha-beta)` is equal to (a)`sec^2(alpha-beta)` (b) `cos e c^2(alpha-beta)` (c)`cos^2(alpha-beta)` (d) `sin^2(alpha-beta)`

Explanation

To solve the problem, we need to eliminate the variable \( \theta \) from the given equations:

1. \( x = a \cos(\theta - \alpha) \)
2. \( y = b \cos(\theta - \beta) \)

We want to show that:

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