คำตอบ - Trigonometry

Reflecting the number with respect to 360 degrees.

$$\sec \left(330°\right)=\sec \left(360-30°\right)$$

The period of trigonometric functions is 360 degrees.

$$\sec \left(360-30°\right)=\sec \left(360-30-360°\right)$$

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

$$\sec \left(360-30-360°\right)=\sec \left(-30°\right)$$

The secant of an angle is equal to one divided by the cosine of the angle.

$$\sec \left(-30°\right)=\frac{1}{\cos \left(-30°\right)}$$

Computing the cosine of a negative angle.

$$\frac{1}{\cos \left(-30°\right)}=\frac{1}{\cos \left(30°\right)}$$

The secant of an angle is equal to one divided by the cosine of the angle.

$$\frac{1}{\cos \left(30°\right)}=\sec \left(30°\right)$$

The secant of an angle is equal to one divided by the cosine of the angle.

$$\sec \left(30°\right)=\frac{1}{\cos \left(30°\right)}$$

Computing the cosine of 30 degrees.

$$\frac{1}{\cos \left(30°\right)}=\frac{1}{\frac{\sqrt{3}}{2}}$$

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.

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