What is the value of Cos 62 Degrees?

We know, using degree to radian conversion, θ in radians = θ in levels × (pi/180°)⇒ 62 levels = 62° × (π/180°) rad = 31π/90 or 1.0821 . . .∴ cos 62° = cos(1.0821) = 0.4694715. . .

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Explanation:

For cos 62 degrees, the edge 62° lies between 0° and 90° (First Quadrant). Due to the fact that cosine function is positive in the first quadrant, for this reason cos 62° worth = 0.4694715. . .Since the cosine role is a periodic function, we can represent cos 62° as, cos 62 degrees = cos(62° + n × 360°), n ∈ Z.⇒ cos 62° = cos 422° = cos 782°, and also so on.Note: Since, cosine is an also function, the value of cos(-62°) = cos(62°).

Methods to find Value of Cos 62 Degrees

The cosine duty is confident in the 1st quadrant. The value of cos 62° is given as 0.46947. . .. Us can discover the value of cos 62 degrees by:

Using Unit CircleUsing Trigonometric Functions

Cos 62 degrees Using Unit Circle

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To find the value of cos 62 degrees using the unit circle:

Rotate ‘r’ anticlockwise to kind 62° angle with the confident x-axis.The cos the 62 degrees equals the x-coordinate(0.4695) the the point of intersection (0.4695, 0.8829) that unit circle and also r.

Hence the value of cos 62° = x = 0.4695 (approx)

Cos 62° in regards to Trigonometric Functions

Using trigonometry formulas, we can represent the cos 62 levels as:

± √(1-sin²(62°))± 1/√(1 + tan²(62°))± cot 62°/√(1 + cot²(62°))±√(cosec²(62°) - 1)/cosec 62°1/sec 62°

Note: because 62° lies in the first Quadrant, the final value that cos 62° will be positive.

We deserve to use trigonometric identities to represent cos 62° as,

-cos(180° - 62°) = -cos 118°-cos(180° + 62°) = -cos 242°sin(90° + 62°) = sin 152°sin(90° - 62°) = sin 28°

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FAQs ~ above Cos 62 Degrees

What is Cos 62 Degrees?

Cos 62 levels is the worth of cosine trigonometric function for an angle equal to 62 degrees. The value of cos 62° is 0.4695 (approx)

How to uncover the worth of Cos 62 Degrees?

The value of cos 62 degrees can be calculated by constructing an angle of 62° v the x-axis, and then recognize the works with of the corresponding suggest (0.4695, 0.8829) top top the unit circle. The worth of cos 62° is same to the x-coordinate (0.4695). ∴ cos 62° = 0.4695.

How to find Cos 62° in state of various other Trigonometric Functions?

Using trigonometry formula, the worth of cos 62° deserve to be offered in terms of various other trigonometric functions as:

± √(1-sin²(62°))± 1/√(1 + tan²(62°))± cot 62°/√(1 + cot²(62°))± √(cosec²(62°) - 1)/cosec 62°1/sec 62°

☛ likewise check: trigonometry table

What is the worth of Cos 62° in regards to Sec 62°?

Since the secant role is the mutual of the cosine function, we can write cos 62° as 1/sec(62°). The worth of sec 62° is equal to 2.130054.

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What is the value of Cos 62 degrees in regards to Sin 62°?

Using trigonometric identities, we deserve to write cos 62° in regards to sin 62° as, cos(62°) = √(1 - sin²(62°)). Here, the worth of sin 62° is same to 0.8829.