Cos 326 Degrees

The value of cos 326 degrees is 0.8290375. . .. Cos 326 degrees in radians is written as cos (326° × π/180°), i.e., cos (163π/90) or cos (5.689773. . .). In this article, we will discuss the methods to find the value of cos 326 degrees with examples.

• Cos 326°: 0.8290375. . .
• Cos (-326 degrees): 0.8290375. . .
• Cos 326° in radians: cos (163π/90) or cos (5.6897733 . . .)

What is the Value of Cos 326 Degrees?

The value of cos 326 degrees in decimal is 0.829037572. . .. Cos 326 degrees can also be expressed using the equivalent of the given angle (326 degrees) in radians (5.68977 . . .)

We know, using degree to radian conversion, θ in radians = θ in degrees × (pi/180°)
⇒ 326 degrees = 326° × (π/180°) rad = 163π/90 or 5.6897 . . .
∴ cos 326° = cos(5.6897) = 0.8290375. . .

Explanation:

For cos 326 degrees, the angle 326° lies between 270° and 360° (Fourth Quadrant). Since cosine function is positive in the fourth quadrant, thus cos 326° value = 0.8290375. . .
Since the cosine function is a periodic function, we can represent cos 326° as, cos 326 degrees = cos(326° + n × 360°), n ∈ Z.
⇒ cos 326° = cos 686° = cos 1046°, and so on.
Note: Since, cosine is an even function, the value of cos(-326°) = cos(326°).

Methods to Find Value of Cos 326 Degrees

The cosine function is positive in the 4th quadrant. The value of cos 326° is given as 0.82903. . .. We can find the value of cos 326 degrees by:

• Using Trigonometric Functions
• Using Unit Circle

Cos 326° in Terms of Trigonometric Functions

Using trigonometry formulas, we can represent the cos 326 degrees as:

• ± √(1-sin²(326°))
• ± 1/√(1 + tan²(326°))
• ± cot 326°/√(1 + cot²(326°))
• ±√(cosec²(326°) - 1)/cosec 326°
• 1/sec 326°

Note: Since 326° lies in the 4th Quadrant, the final value of cos 326° will be positive.

We can use trigonometric identities to represent cos 326° as,

• -cos(180° - 326°) = -cos(-146°)
• -cos(180° + 326°) = -cos 506°
• sin(90° + 326°) = sin 416°
• sin(90° - 326°) = sin(-236°)

Cos 326 Degrees Using Unit Circle

To find the value of cos 326 degrees using the unit circle:

• Rotate ‘r’ anticlockwise to form 326° angle with the positive x-axis.
• The cos of 326 degrees equals the x-coordinate(0.829) of the point of intersection (0.829, -0.5592) of unit circle and r.

Hence the value of cos 326° = x = 0.829 (approx)

☛ Also Check:

• cos 10 degrees
• cos 2 degrees
• cos 45 degrees
• cos 510 degrees
• cos 110 degrees
• cos 64 degrees

FAQs on Cos 326 Degrees

What is Cos 326 Degrees?

Cos 326 degrees is the value of cosine trigonometric function for an angle equal to 326 degrees. The value of cos 326° is 0.829 (approx)

What is the Exact Value of cos 326 Degrees?

The exact value of cos 326 degrees can be given accurately up to 8 decimal places as 0.82903757.

How to Find Cos 326° in Terms of Other Trigonometric Functions?

Using trigonometry formula, the value of cos 326° can be given in terms of other trigonometric functions as:

• ± √(1-sin²(326°))
• ± 1/√(1 + tan²(326°))
• ± cot 326°/√(1 + cot²(326°))
• ± √(cosec²(326°) - 1)/cosec 326°
• 1/sec 326°

☛ Also check: trigonometric table

How to Find the Value of Cos 326 Degrees?

The value of cos 326 degrees can be calculated by constructing an angle of 326° with the x-axis, and then finding the coordinates of the corresponding point (0.829, -0.5592) on the unit circle. The value of cos 326° is equal to the x-coordinate (0.829). ∴ cos 326° = 0.829.

What is the Value of Cos 326 Degrees in Terms of Cot 326°?

We can represent the cosine function in terms of the cotangent function using trig identities, cos 326° can be written as -cot 326°/√(1 + cot²(326°)). Here, the value of cot 326° is equal to -1.48256.