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Question Number 171858 by Mikenice last updated on 21/Jun/22
solve:  find the value of x and y between 0^(° ) and180^°  which satisfy the simultaneous eqn  sin(x+y)=((√2)/2)  cos2x=−(1/2)
$${solve}: \\ $$$${find}\:{the}\:{value}\:{of}\:{x}\:{and}\:{y}\:{between}\:\mathrm{0}^{°\:} {and}\mathrm{180}^{°} \:{which}\:{satisfy}\:{the}\:{simultaneous}\:{eqn} \\ $$$${sin}\left({x}+{y}\right)=\frac{\sqrt{\mathrm{2}}}{\mathrm{2}} \\ $$$${cos}\mathrm{2}{x}=−\frac{\mathrm{1}}{\mathrm{2}} \\ $$

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