Řešení - Trigonometry

The period of trigonometric functions is 360 degrees.

$$\sec \left(960°\right)=\sec \left(960-360°\right)$$

Subtracting one integer from another.

$$\sec \left(960-360°\right)=\sec \left(600°\right)$$

The period of trigonometric functions is 360 degrees.

$$\sec \left(600°\right)=\sec \left(600-360°\right)$$

Subtracting one integer from another.

$$\sec \left(600-360°\right)=\sec \left(240°\right)$$

Reflecting the number with respect to 360 degrees.

$$\sec \left(240°\right)=\sec \left(360-120°\right)$$

The period of trigonometric functions is 360 degrees.

$$\sec \left(360-120°\right)=\sec \left(360-120-360°\right)$$

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

$$\sec \left(360-120-360°\right)=\sec \left(-120°\right)$$

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

$$\sec \left(-120°\right)=\frac{1}{\cos \left(-120°\right)}$$

Computing the cosine of a negative angle.

$$\frac{1}{\cos \left(-120°\right)}=\frac{1}{\cos \left(120°\right)}$$

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

$$\frac{1}{\cos \left(120°\right)}=\sec \left(120°\right)$$

Reflecting the number with respect to 360 degrees.

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

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

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

Reflecting the cosine function with respect to 180 degrees.

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

Placing the minus sign in front of a fraction.

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

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.

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