Řešení - Trigonometry

The period of trigonometric functions is 360 degrees.

$$\sec \left(660°\right)=\sec \left(660-360°\right)$$

Subtracting one integer from another.

$$\sec \left(660-360°\right)=\sec \left(300°\right)$$

Reflecting the number with respect to 360 degrees.

$$\sec \left(300°\right)=\sec \left(360-60°\right)$$

The period of trigonometric functions is 360 degrees.

$$\sec \left(360-60°\right)=\sec \left(360-60-360°\right)$$

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

$$\sec \left(360-60-360°\right)=\sec \left(-60°\right)$$

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

$$\sec \left(-60°\right)=\frac{1}{\cos \left(-60°\right)}$$

Computing the cosine of a negative angle.

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

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

$$\frac{1}{\cos \left(60°\right)}=\sec \left(60°\right)$$

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

$$\sec \left(60°\right)=\frac{1}{\cos \left(60°\right)}$$

Computing the cosine of 60 degrees.

$$\frac{1}{\cos \left(60°\right)}=\frac{1}{\frac{1}{2}}$$

Computing the reciprocal of a reciprocal.

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