Cos 44 Degrees

The value of cos 44 degrees is 0.7193398. . .. Cos 44 degrees in radians is written as cos (44° × π/180°), i.e., cos (11π/45) or cos (0.767944. . .). In this article, we will discuss the methods to find the value of cos 44 degrees with examples.

• Cos 44°: 0.7193398. . .
• Cos (-44 degrees): 0.7193398. . .
• Cos 44° in radians: cos (11π/45) or cos (0.7679448 . . .)

What is the Value of Cos 44 Degrees?

The value of cos 44 degrees in decimal is 0.719339800. . .. Cos 44 degrees can also be expressed using the equivalent of the given angle (44 degrees) in radians (0.76794 . . .)

We know, using degree to radian conversion, θ in radians = θ in degrees × (pi/180°)
⇒ 44 degrees = 44° × (π/180°) rad = 11π/45 or 0.7679 . . .
∴ cos 44° = cos(0.7679) = 0.7193398. . .

Explanation:

For cos 44 degrees, the angle 44° lies between 0° and 90° (First Quadrant). Since cosine function is positive in the first quadrant, thus cos 44° value = 0.7193398. . .
Since the cosine function is a periodic function, we can represent cos 44° as, cos 44 degrees = cos(44° + n × 360°), n ∈ Z.
⇒ cos 44° = cos 404° = cos 764°, and so on.
Note: Since, cosine is an even function, the value of cos(-44°) = cos(44°).

Methods to Find Value of Cos 44 Degrees

The cosine function is positive in the 1st quadrant. The value of cos 44° is given as 0.71933. . .. We can find the value of cos 44 degrees by:

• Using Unit Circle
• Using Trigonometric Functions

Cos 44 Degrees Using Unit Circle

To find the value of cos 44 degrees using the unit circle:

• Rotate ‘r’ anticlockwise to form 44° angle with the positive x-axis.
• The cos of 44 degrees equals the x-coordinate(0.7193) of the point of intersection (0.7193, 0.6947) of unit circle and r.

Hence the value of cos 44° = x = 0.7193 (approx)

Cos 44° in Terms of Trigonometric Functions

Using trigonometry formulas, we can represent the cos 44 degrees as:

• ± √(1-sin²(44°))
• ± 1/√(1 + tan²(44°))
• ± cot 44°/√(1 + cot²(44°))
• ±√(cosec²(44°) - 1)/cosec 44°
• 1/sec 44°

Note: Since 44° lies in the 1st Quadrant, the final value of cos 44° will be positive.

We can use trigonometric identities to represent cos 44° as,

• -cos(180° - 44°) = -cos 136°
• -cos(180° + 44°) = -cos 224°
• sin(90° + 44°) = sin 134°
• sin(90° - 44°) = sin 46°

☛ Also Check:

• cos 60 degrees
• cos 0 degrees
• cos 40 degrees
• cos 326 degrees
• cos 510 degrees
• cos 108 degrees

FAQs on Cos 44 Degrees

What is Cos 44 Degrees?

Cos 44 degrees is the value of cosine trigonometric function for an angle equal to 44 degrees. The value of cos 44° is 0.7193 (approx)

How to Find Cos 44° in Terms of Other Trigonometric Functions?

Using trigonometry formula, the value of cos 44° can be given in terms of other trigonometric functions as:

• ± √(1-sin²(44°))
• ± 1/√(1 + tan²(44°))
• ± cot 44°/√(1 + cot²(44°))
• ± √(cosec²(44°) - 1)/cosec 44°
• 1/sec 44°

☛ Also check: trigonometry table

What is the Value of Cos 44° in Terms of Sec 44°?

Since the secant function is the reciprocal of the cosine function, we can write cos 44° as 1/sec(44°). The value of sec 44° is equal to 1.390163.

How to Find the Value of Cos 44 Degrees?

The value of cos 44 degrees can be calculated by constructing an angle of 44° with the x-axis, and then finding the coordinates of the corresponding point (0.7193, 0.6947) on the unit circle. The value of cos 44° is equal to the x-coordinate (0.7193). ∴ cos 44° = 0.7193.

What is the Value of Cos 44 Degrees in Terms of Cot 44°?

We can represent the cosine function in terms of the cotangent function using trig identities, cos 44° can be written as cot 44°/√(1 + cot²(44°)). Here, the value of cot 44° is equal to 1.03553.