Trigonometry Examples

$\tan (3 π + x) = \tan (x)$

Step 1

For the two functions to be equal, the arguments of each must be equal.

$3 π + x = x$

Step 2

Move all terms not containing $`$ to the right side of the equation.

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Step 2.1

Subtract $3 π$ from both sides of the equation.

$x = x - 3 π$

Step 2.2

Subtract $x$ from both sides of the equation.

$0 = x - 3 π - x$

Step 2.3

Combine the opposite terms in $x - 3 π - x$ .

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Step 2.3.1

Subtract $x$ from $x$ .

$0 = 0 - 3 π$

Step 2.3.2

Subtract $3 π$ from $0$ .

$0 = - 3 π$

Step 3

Rewrite the equation as $- 3 π = 0$ .

$- 3 π = 0$

Step 4

Multiply $- 3$ by $3.14159265$ .

$- 9.42477796 = 0$

Step 5

Since $- 9.42477796 \neq 0$ , there are no solutions.

No solution