Question Number 8653 by tawakalitu last updated on 19/Oct/16
Answered by prakash jain last updated on 19/Oct/16
$$\mathrm{2sin}\:{x}+\mathrm{3cos}\:{y}=\mathrm{5} \\ $$$$\mathrm{sin}\:{x}\leqslant\mathrm{1} \\ $$$$\mathrm{cos}\:{y}\leqslant\mathrm{1} \\ $$$$\mathrm{If}\:\mathrm{2sin}\:{x}+\mathrm{3cos}\:{y}=\mathrm{5} \\ $$$$\Rightarrow\mathrm{sin}\:{x}=\mathrm{1}\:\mathrm{and}\:\mathrm{cos}\:{y}=\mathrm{1} \\ $$$$\mathrm{3sin}\:{x}+\mathrm{2cos}\:{y}=\mathrm{3}\centerdot\mathrm{1}+\mathrm{2}\centerdot\mathrm{1}=\mathrm{5} \\ $$
Commented by tawakalitu last updated on 20/Oct/16
$$\mathrm{Thank}\:\mathrm{you}\:\mathrm{sir}. \\ $$