Cos 244 Degrees

The value of cos 244 degrees is -0.4383711. . .. Cos 244 degrees in radians is written as cos (244° × π/180°), i.e., cos (61π/45) or cos (4.258603. . .). In this article, we will discuss the methods to find the value of cos 244 degrees with examples.

• Cos 244°: -0.4383711. . .
• Cos (-244 degrees): -0.4383711. . .
• Cos 244° in radians: cos (61π/45) or cos (4.2586033 . . .)

What is the Value of Cos 244 Degrees?

The value of cos 244 degrees in decimal is -0.438371146. . .. Cos 244 degrees can also be expressed using the equivalent of the given angle (244 degrees) in radians (4.25860 . . .)

We know, using degree to radian conversion, θ in radians = θ in degrees × (pi/180°)
⇒ 244 degrees = 244° × (π/180°) rad = 61π/45 or 4.2586 . . .
∴ cos 244° = cos(4.2586) = -0.4383711. . .

Explanation:

For cos 244 degrees, the angle 244° lies between 180° and 270° (Third Quadrant). Since cosine function is negative in the third quadrant, thus cos 244° value = -0.4383711. . .
Since the cosine function is a periodic function, we can represent cos 244° as, cos 244 degrees = cos(244° + n × 360°), n ∈ Z.
⇒ cos 244° = cos 604° = cos 964°, and so on.
Note: Since, cosine is an even function, the value of cos(-244°) = cos(244°).

Methods to Find Value of Cos 244 Degrees

The cosine function is negative in the 3rd quadrant. The value of cos 244° is given as -0.43837. . .. We can find the value of cos 244 degrees by:

• Using Trigonometric Functions
• Using Unit Circle

Cos 244° in Terms of Trigonometric Functions

Using trigonometry formulas, we can represent the cos 244 degrees as:

• ± √(1-sin²(244°))
• ± 1/√(1 + tan²(244°))
• ± cot 244°/√(1 + cot²(244°))
• ±√(cosec²(244°) - 1)/cosec 244°
• 1/sec 244°

Note: Since 244° lies in the 3rd Quadrant, the final value of cos 244° will be negative.

We can use trigonometric identities to represent cos 244° as,

• -cos(180° - 244°) = -cos(-64°)
• -cos(180° + 244°) = -cos 424°
• sin(90° + 244°) = sin 334°
• sin(90° - 244°) = sin(-154°)

Cos 244 Degrees Using Unit Circle

To find the value of cos 244 degrees using the unit circle:

• Rotate ‘r’ anticlockwise to form 244° angle with the positive x-axis.
• The cos of 244 degrees equals the x-coordinate(-0.4384) of the point of intersection (-0.4384, -0.8988) of unit circle and r.

Hence the value of cos 244° = x = -0.4384 (approx)

☛ Also Check:

• cos 10 degrees
• cos 37 degrees
• cos 20 degrees
• cos 8 degrees
• cos 27 degrees
• cos 315 degrees

FAQs on Cos 244 Degrees

What is Cos 244 Degrees?

Cos 244 degrees is the value of cosine trigonometric function for an angle equal to 244 degrees. The value of cos 244° is -0.4384 (approx)

What is the Value of Cos 244° in Terms of Cosec 244°?

Since the cosine function can be represented using the cosecant function, we can write cos 244° as [√(cosec²(244°) - 1)/cosec 244°]. The value of cosec 244° is equal to -1.11260.

What is the Value of Cos 244 Degrees in Terms of Sin 244°?

Using trigonometric identities, we can write cos 244° in terms of sin 244° as, cos(244°) = -√(1 - sin²(244°)). Here, the value of sin 244° is equal to -0.8988.

How to Find Cos 244° in Terms of Other Trigonometric Functions?

Using trigonometry formula, the value of cos 244° can be given in terms of other trigonometric functions as:

• ± √(1-sin²(244°))
• ± 1/√(1 + tan²(244°))
• ± cot 244°/√(1 + cot²(244°))
• ± √(cosec²(244°) - 1)/cosec 244°
• 1/sec 244°

☛ Also check: trigonometry table

How to Find the Value of Cos 244 Degrees?

The value of cos 244 degrees can be calculated by constructing an angle of 244° with the x-axis, and then finding the coordinates of the corresponding point (-0.4384, -0.8988) on the unit circle. The value of cos 244° is equal to the x-coordinate (-0.4384). ∴ cos 244° = -0.4384.