1.

If \[\theta \]is eliminated from the equations \[x=a\,\cos (\theta -\alpha )\]and \[y=b\,\cos (\theta -\beta )\], then \[\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{b}^{2}}}-\frac{2xy}{ab}\cos (\alpha -\beta )\]is equal to

A. \[{{\sec }^{2}}(\alpha -\beta )\] 
B. \[\cos e{{c}^{2}}(\alpha -\beta )\]
C. \[{{\cos }^{2}}(-\beta )\]          
D. \[si{{n}^{2}}(\alpha -\beta )\]
Answer» E.


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