Řešení - Trigonometry

Reflecting the number with respect to 360 degrees.

$$\csc \left(120°\right)=\csc \left(180-60°\right)$$

The cosecant of an angle is equal to one divided by the sine of the angle.

$$\csc \left(180-60°\right)=\frac{1}{\sin \left(180-60°\right)}$$

Reflecting the sine function with respect to 180 degrees.

$$\frac{1}{\sin \left(180-60°\right)}=\frac{1}{\sin \left(60°\right)}$$

The cosecant of an angle is equal to one divided by the sine of the angle.

$$\frac{1}{\sin \left(60°\right)}=\csc \left(60°\right)$$

The cosecant of an angle is equal to one divided by the sine of the angle.

$$\csc \left(60°\right)=\frac{1}{\sin \left(60°\right)}$$

Computing the sine of 60 degrees.

$$\frac{1}{\sin \left(60°\right)}=\frac{1}{\frac{\sqrt{3}}{2}}$$

Computing the reciprocal of a fraction.

$$\frac{1}{\frac{\sqrt{3}}{2}}=\frac{2}{\sqrt{3}}$$

Multiplying the same number with the numerator and denominator of a fraction.

$$\frac{2}{\sqrt{3}}=\frac{2\times \sqrt{3}}{\sqrt{3}\times \sqrt{3}}$$

Multiplying the same number with the numerator and denominator of a fraction.

$$\frac{2}{\sqrt{3}}=\frac{2\times \sqrt{3}}{\sqrt{3}\times \sqrt{3}}$$

Multiplying the same numbers together.

$$\frac{2\times \sqrt{3}}{\sqrt{3}\times \sqrt{3}}=\frac{2\times \sqrt{3}}{\sqrt{3^2}}$$

Multiplying the same number with the numerator and denominator of a fraction.

$$\frac{2}{\sqrt{3}}=\frac{2\times \sqrt{3}}{\sqrt{3}\times \sqrt{3}}$$

Multiplying the same numbers together.

$$\frac{2\times \sqrt{3}}{\sqrt{3}\times \sqrt{3}}=\frac{2\times \sqrt{3}}{\sqrt{3^2}}$$

Squaring the square root of a number.

$$\frac{2\times \sqrt{3}}{\sqrt{3^2}}=\frac{2\times \sqrt{3}}{3}$$