Trigonometry Examples

$\sin (x + 2 π) = \sin (x)$

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

$x + 2 π = x$

Move all terms containing $x$ to the left side of the equation.

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Subtract $x$ from both sides of the equation.

$x + 2 π - x = 0$

Combine the opposite terms in $x + 2 π - x$ .

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Subtract $x$ from $x$ .

$2 π + 0 = 0$

Add $2 π$ and $0$ .

$2 π = 0$

Multiply $2$ by $3.14159265$ .

$6.2831853 = 0$

Since $6.2831853 \neq 0$ , there are no solutions.

No solution