Two supplementary angles $x$ and $y$ are such that $\sin(x-y)=\dfrac{1}{2}$. Find the pos

Question

Two supplementary angles $x$ and $y$ are such that $\sin(x-y)=\dfrac{1}{2}$. Find the possible values of $x$ and $y$ in radians, given that $x$ is an obtuse angle whereas $y$ is an acute angle.

Accepted Answer

$x=\frac{7\pi}{12},\ y=\frac{5\pi}{12}$ or $x=\frac{11\pi}{12},\ y=\frac{\pi}{12}$

Supplementary angles from a sine difference

Supplementary angles from a sine difference

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