Categories > trigonometry > Fundamental trigonometrical ratios and functions > If $a\cos \theta +b\sin \theta =m$ and $a\sin \theta -b\cos \theta =n,$ then ${{a}^{2}}+{{b}^{2}}=$

trigonometry

Question: If $a\cos \theta +b\sin \theta =m$ and $a\sin \theta -b\cos \theta =n,$ then ${{a}^{2}}+{{b}^{2}}=$


1) $m+n$
2) ${{m}^{2}}-{{n}^{2}}$
3) ${{m}^{2}}+{{n}^{2}}$
4) None of these
Solution: Explanation: No Solution
Fundamental trigonometrical ratios and functions Trigonometrical ratio of allied angles

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