Solve the trigonometric equation 5sec(x)+7=-3

 Exercise

$5\:sec\:\left(x\right)+7=-3$

 

We need to isolate the dependent variable $x$, we can do that by simultaneously subtracting $7$ from both sides of the equation

$5\sec\left(x\right)=-3-7$

 

Subtract the values $-3$ and $-7$

$5\sec\left(x\right)=-10$

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Divide both sides of the equation by $5$

$\sec\left(x\right)=-\frac{10}{5}$

 

Divide $-10$ by $5$

$\sec\left(x\right)=-2$

 

This equation has no solutions in the real plane

$No solution$

$No solution$

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