Řešení - Trigonometry

- \frac{\sqrt{2}}{2}

-\frac{\sqrt{2}}{2}

Vysvětlení krok za krokem

The period of trigonometric functions is 360 degrees.

$\sin (585 °) = \sin (585 - 360 °)$

Subtracting one integer from another.

$\sin (585 - 360 °) = \sin (225 °)$

Reflecting the number with respect to 360 degrees.

$\sin (225 °) = \sin (360 - 135 °)$

The period of trigonometric functions is 360 degrees.

$\sin (360 - 135 °) = \sin (360 - 135 - 360 °)$

Removing or simplifying the same numbers on the top and bottom of a fraction.

$\sin (360 - 135 - 360 °) = \sin (- 135 °)$

Computing the sine of a negative angle.

$\sin (- 135 °) = - \sin (135 °)$

Reflecting the number with respect to 360 degrees.

$- \sin (135 °) = - \sin (180 - 45 °)$

Reflecting the sine function with respect to 180 degrees.

$- \sin (180 - 45 °) = - \sin (45 °)$

Computing the sine of 45 degrees.

$- \sin (45 °) = - \frac{\sqrt{2}}{2}$

Bylo toto vysvětlení užitečné?

How did we do?

Learn more with Tiger

Goniometrie propojuje úhly, délky a periodické děje v matematice i fyzice.