Cos 79 Degrees

The value of cos 79 degrees is 0.1908089. . .. Cos 79 degrees in radians is written as cos (79° × π/180°), i.e., cos (1.378810. . .). In this article, we will discuss the methods to find the value of cos 79 degrees with examples.

• Cos 79°: 0.1908089. . .
• Cos (-79 degrees): 0.1908089. . .
• Cos 79° in radians: cos (1.3788101 . . .)

What is the Value of Cos 79 Degrees?

The value of cos 79 degrees in decimal is 0.190808995. . .. Cos 79 degrees can also be expressed using the equivalent of the given angle (79 degrees) in radians (1.37881 . . .)

We know, using degree to radian conversion, θ in radians = θ in degrees × (pi/180°)
⇒ 79 degrees = 79° × (π/180°) rad = 1.3788 . . .
∴ cos 79° = cos(1.3788) = 0.1908089. . .

Explanation:

For cos 79 degrees, the angle 79° lies between 0° and 90° (First Quadrant). Since cosine function is positive in the first quadrant, thus cos 79° value = 0.1908089. . .
Since the cosine function is a periodic function, we can represent cos 79° as, cos 79 degrees = cos(79° + n × 360°), n ∈ Z.
⇒ cos 79° = cos 439° = cos 799°, and so on.
Note: Since, cosine is an even function, the value of cos(-79°) = cos(79°).

Methods to Find Value of Cos 79 Degrees

The cosine function is positive in the 1st quadrant. The value of cos 79° is given as 0.19080. . .. We can find the value of cos 79 degrees by:

• Using Trigonometric Functions
• Using Unit Circle

Cos 79° in Terms of Trigonometric Functions

Using trigonometry formulas, we can represent the cos 79 degrees as:

• ± √(1-sin²(79°))
• ± 1/√(1 + tan²(79°))
• ± cot 79°/√(1 + cot²(79°))
• ±√(cosec²(79°) - 1)/cosec 79°
• 1/sec 79°

Note: Since 79° lies in the 1st Quadrant, the final value of cos 79° will be positive.

We can use trigonometric identities to represent cos 79° as,

• -cos(180° - 79°) = -cos 101°
• -cos(180° + 79°) = -cos 259°
• sin(90° + 79°) = sin 169°
• sin(90° - 79°) = sin 11°

Cos 79 Degrees Using Unit Circle

To find the value of cos 79 degrees using the unit circle:

• Rotate ‘r’ anticlockwise to form 79° angle with the positive x-axis.
• The cos of 79 degrees equals the x-coordinate(0.1908) of the point of intersection (0.1908, 0.9816) of unit circle and r.

Hence the value of cos 79° = x = 0.1908 (approx)

☛ Also Check:

• cos 1 degrees
• cos 210 degrees
• cos 40 degrees
• cos 106 degrees
• cos 244 degrees
• cos 39 degrees

FAQs on Cos 79 Degrees

What is Cos 79 Degrees?

Cos 79 degrees is the value of cosine trigonometric function for an angle equal to 79 degrees. The value of cos 79° is 0.1908 (approx)

How to Find Cos 79° in Terms of Other Trigonometric Functions?

Using trigonometry formula, the value of cos 79° can be given in terms of other trigonometric functions as:

• ± √(1-sin²(79°))
• ± 1/√(1 + tan²(79°))
• ± cot 79°/√(1 + cot²(79°))
• ± √(cosec²(79°) - 1)/cosec 79°
• 1/sec 79°

☛ Also check: trigonometric table

How to Find the Value of Cos 79 Degrees?

The value of cos 79 degrees can be calculated by constructing an angle of 79° with the x-axis, and then finding the coordinates of the corresponding point (0.1908, 0.9816) on the unit circle. The value of cos 79° is equal to the x-coordinate (0.1908). ∴ cos 79° = 0.1908.

What is the Value of Cos 79 Degrees in Terms of Sin 79°?

Using trigonometric identities, we can write cos 79° in terms of sin 79° as, cos(79°) = √(1 - sin²(79°)). Here, the value of sin 79° is equal to 0.9816.

What is the Value of Cos 79° in Terms of Cosec 79°?

Since the cosine function can be represented using the cosecant function, we can write cos 79° as [√(cosec²(79°) - 1)/cosec 79°]. The value of cosec 79° is equal to 1.01871.