Cos 29 Degrees

The value of cos 29 degrees is 0.8746197. . .. Cos 29 degrees in radians is written as cos (29° × π/180°), i.e., cos (0.506145. . .). In this article, we will discuss the methods to find the value of cos 29 degrees with examples.

• Cos 29°: 0.8746197. . .
• Cos (-29 degrees): 0.8746197. . .
• Cos 29° in radians: cos (0.5061454 . . .)

What is the Value of Cos 29 Degrees?

The value of cos 29 degrees in decimal is 0.874619707. . .. Cos 29 degrees can also be expressed using the equivalent of the given angle (29 degrees) in radians (0.50614 . . .)

We know, using degree to radian conversion, θ in radians = θ in degrees × (pi/180°)
⇒ 29 degrees = 29° × (π/180°) rad = 0.5061 . . .
∴ cos 29° = cos(0.5061) = 0.8746197. . .

Explanation:

For cos 29 degrees, the angle 29° lies between 0° and 90° (First Quadrant). Since cosine function is positive in the first quadrant, thus cos 29° value = 0.8746197. . .
Since the cosine function is a periodic function, we can represent cos 29° as, cos 29 degrees = cos(29° + n × 360°), n ∈ Z.
⇒ cos 29° = cos 389° = cos 749°, and so on.
Note: Since, cosine is an even function, the value of cos(-29°) = cos(29°).

Methods to Find Value of Cos 29 Degrees

The cosine function is positive in the 1st quadrant. The value of cos 29° is given as 0.87461. . .. We can find the value of cos 29 degrees by:

• Using Unit Circle
• Using Trigonometric Functions

Cos 29 Degrees Using Unit Circle

To find the value of cos 29 degrees using the unit circle:

• Rotate ‘r’ anticlockwise to form 29° angle with the positive x-axis.
• The cos of 29 degrees equals the x-coordinate(0.8746) of the point of intersection (0.8746, 0.4848) of unit circle and r.

Hence the value of cos 29° = x = 0.8746 (approx)

Cos 29° in Terms of Trigonometric Functions

Using trigonometry formulas, we can represent the cos 29 degrees as:

• ± √(1-sin²(29°))
• ± 1/√(1 + tan²(29°))
• ± cot 29°/√(1 + cot²(29°))
• ±√(cosec²(29°) - 1)/cosec 29°
• 1/sec 29°

Note: Since 29° lies in the 1st Quadrant, the final value of cos 29° will be positive.

We can use trigonometric identities to represent cos 29° as,

• -cos(180° - 29°) = -cos 151°
• -cos(180° + 29°) = -cos 209°
• sin(90° + 29°) = sin 119°
• sin(90° - 29°) = sin 61°

☛ Also Check:

• cos 21 degrees
• cos 11 degrees
• cos 135 degrees
• cos 125 degrees
• cos 33 degrees
• cos 66 degrees

FAQs on Cos 29 Degrees

What is Cos 29 Degrees?

Cos 29 degrees is the value of cosine trigonometric function for an angle equal to 29 degrees. The value of cos 29° is 0.8746 (approx)

How to Find the Value of Cos 29 Degrees?

The value of cos 29 degrees can be calculated by constructing an angle of 29° with the x-axis, and then finding the coordinates of the corresponding point (0.8746, 0.4848) on the unit circle. The value of cos 29° is equal to the x-coordinate (0.8746). ∴ cos 29° = 0.8746.

How to Find Cos 29° in Terms of Other Trigonometric Functions?

Using trigonometry formula, the value of cos 29° can be given in terms of other trigonometric functions as:

• ± √(1-sin²(29°))
• ± 1/√(1 + tan²(29°))
• ± cot 29°/√(1 + cot²(29°))
• ± √(cosec²(29°) - 1)/cosec 29°
• 1/sec 29°

☛ Also check: trigonometric table

What is the Value of Cos 29 Degrees in Terms of Tan 29°?

We know, using trig identities, we can write cos 29° as 1/√(1 + tan²(29°)). Here, the value of tan 29° is equal to 0.554309.

What is the Value of Cos 29° in Terms of Sec 29°?

Since the secant function is the reciprocal of the cosine function, we can write cos 29° as 1/sec(29°). The value of sec 29° is equal to 1.143354.