Trigonometry Examples

$arccsc (3 x) - 1 = 0$

Step 1

Add $1$ to both sides of the equation.

$arccsc (3 x) = 1$

Step 2

Take the inverse arccosecant of both sides of the equation to extract $x$ from inside the arccosecant.

$3 x = \csc (1)$

Step 3

Simplify the right side.

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Step 3.1

Evaluate $\csc (1)$ .

$3 x = 57.29868849$

Step 4

Divide each term in $3 x = 57.29868849$ by $3$ and simplify.

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Step 4.1

Divide each term in $3 x = 57.29868849$ by $3$ .

$\frac{3 x}{3} = \frac{57.29868849}{3}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $3$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{3 x}{3} = \frac{57.29868849}{3}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{57.29868849}{3}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $57.29868849$ by $3$ .

$x = 19.09956283$

Step 5

Exclude the solutions that do not make $arccsc (3 x) - 1 = 0$ true.

$No solution$