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Question-20559




Question Number 20559 by khamizan833@gmail.com last updated on 28/Aug/17
Answered by Tinkutara last updated on 28/Aug/17
Squaring and adding the two equations,  9+16+24(sin Acos B+cos Asin B)=1  24sin (A+B)=−24  sin C=−1⇒This condition is not  possible. Some error in the question.
$${Squaring}\:{and}\:{adding}\:{the}\:{two}\:{equations}, \\ $$$$\mathrm{9}+\mathrm{16}+\mathrm{24}\left(\mathrm{sin}\:{A}\mathrm{cos}\:{B}+\mathrm{cos}\:{A}\mathrm{sin}\:{B}\right)=\mathrm{1} \\ $$$$\mathrm{24sin}\:\left({A}+{B}\right)=−\mathrm{24} \\ $$$$\mathrm{sin}\:{C}=−\mathrm{1}\Rightarrow{This}\:{condition}\:{is}\:{not} \\ $$$${possible}.\:{Some}\:{error}\:{in}\:{the}\:{question}. \\ $$

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