Solve the trigonometric equation 4+sin(2x)=7/2

 Exercise

$4+sin2x=\frac{7}{2}$

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We need to isolate the dependent variable $x$, we can do that by simultaneously subtracting $4$ from both sides of the equation

$\sin\left(2x\right)=\frac{7}{2}-4$

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Simplify the addition $\frac{7}{2}-4$

$\sin\left(2x\right)=\frac{7-4\cdot 2}{2}$

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Multiply $-4$ times $2$

$\sin\left(2x\right)=\frac{7-8}{2}$

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Subtract the values $7$ and $-8$

$\sin\left(2x\right)=-\frac{1}{2}$

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This equation has no solutions in the real plane

$No solution$

$No solution$

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