यदि tan θ = a/b इस प्रकार है कि \(\frac{asin~\theta ~-b\cos \theta }{a\sin \theta ~+~b\cos \theta }={{\left[ \frac{{{a}^{2}}-{{b}^{2}}}{{{a}^{2}}+{{b}^{2}}} \right]}^{k}}\), तो k का मान क्या है?

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