Trigonometry Examples

$\sin (a + 2 π) = \sin (a)$

Step 1

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

$a + 2 π = a$

Step 2

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

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Step 2.1

Subtract $a$ from both sides of the equation.

$a + 2 π - a = 0$

Step 2.2

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

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Step 2.2.1

Subtract $a$ from $a$ .

$2 π + 0 = 0$

Step 2.2.2

Add $2 π$ and $0$ .

$2 π = 0$

Step 3

Multiply $2$ by $3.14159265$ .

$6.2831853 = 0$

Step 4

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

No solution