The worth of cos 60 degrees is 0.5. Cos 60 levels in radians is composed as cos (60° × π/180°), i.e., cos (π/3) or cos (1.047197. . .). In this article, we will comment on the techniques to find the value of cos 60 levels with examples.

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Cos 60°: 0.5Cos 60° in fraction: 1/2Cos (-60 degrees): 0.5Cos 60° in radians: cos (π/3) or cos (1.0471975 . . .)

What is the worth of Cos 60 Degrees?

The value of cos 60 levels in decimal is 0.5. Cos 60 degrees can likewise be expressed utilizing the indistinguishable of the provided angle (60 degrees) in radians (1.04719 . . .)

We know, using level to radian conversion, θ in radians = θ in levels × (pi/180°)⇒ 60 degrees = 60° × (π/180°) rad = π/3 or 1.0471 . . .∴ cos 60° = cos(1.0471) = 1/2 or 0.5

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Explanation:

For cos 60 degrees, the angle 60° lies between 0° and 90° (First Quadrant). Because cosine duty is confident in the first quadrant, therefore cos 60° value = 1/2 or 0.5Since the cosine duty is a regular function, we can represent cos 60° as, cos 60 levels = cos(60° + n × 360°), n ∈ Z.⇒ cos 60° = cos 420° = cos 780°, and so on.Note: Since, cosine is an even function, the worth of cos(-60°) = cos(60°).

Methods to discover Value that Cos 60 Degrees

The cosine role is hopeful in the 1st quadrant. The value of cos 60° is given as 0.5. We can find the worth of cos 60 degrees by:

Using Trigonometric FunctionsUsing Unit Circle

Cos 60° in terms of Trigonometric Functions

Using trigonometry formulas, we deserve to represent the cos 60 levels as:

± √(1-sin²(60°))± 1/√(1 + tan²(60°))± cot 60°/√(1 + cot²(60°))±√(cosec²(60°) - 1)/cosec 60°1/sec 60°

Note: because 60° lies in the first Quadrant, the final value of cos 60° will be positive.

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We have the right to use trigonometric identities to represent cos 60° as,

-cos(180° - 60°) = -cos 120°-cos(180° + 60°) = -cos 240°sin(90° + 60°) = sin 150°sin(90° - 60°) = sin 30°

Cos 60 levels Using Unit Circle

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To find the value of cos 60 degrees using the unit circle:

Rotate ‘r’ anticlockwise to kind 60° angle v the positive x-axis.The cos the 60 degrees equals the x-coordinate(0.5) that the point of intersection (0.5, 0.866) of unit circle and also r.

Hence the value of cos 60° = x = 0.5