Solve the trigonometric equation 10csc(x)+10=0

 Exercise

$10\csc\left(x\right)+10=0$

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Factor the polynomial $10\csc\left(x\right)+10$ by it's greatest common factor (GCF): $10$

$10\left(\csc\left(x\right)+1\right)=0$

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Divide both sides of the equation by $10$

$\csc\left(x\right)+1=0$

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We need to isolate the dependent variable $x$, we can do that by simultaneously subtracting $1$ from both sides of the equation

$\csc\left(x\right)=-1$

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This equation has no solutions in the real plane

$No solution$

$No solution$

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