Řešení - Trigonometry

- \tan (75 °)

-\tan(75\degree)

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Reflecting the number with respect to 360 degrees.

$\tan (105 °) = \tan (180 - 75 °)$

The tangent of an angle is equal to the sine of the angle divided by the cosine of the angle.

$\tan (180 - 75 °) = \frac{\sin (180 - 75 °)}{\cos (180 - 75 °)}$

Reflecting the sine function with respect to 180 degrees.

$\frac{\sin (180 - 75 °)}{\cos (180 - 75 °)} = \frac{\sin (75 °)}{\cos (180 - 75 °)}$

Reflecting the cosine function with respect to 180 degrees.

$\frac{\sin (75 °)}{\cos (180 - 75 °)} = \frac{\sin (75 °)}{- \cos (75 °)}$

Placing the minus sign in front of a fraction.

$\frac{\sin (75 °)}{- \cos (75 °)} = - \frac{\sin (75 °)}{\cos (75 °)}$

The tangent of an angle is equal to the sine of the angle divided by the cosine of the angle.

$- \frac{\sin (75 °)}{\cos (75 °)} = - \tan (75 °)$

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