find the value of cot ( π 3 ) . enter an exact answer.

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Csc of 60 degrees in radians

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The cosecant function is positive in the 1st quadrant. The value of cosec 60° is given as 1.15470. . .. We can find the value of cosec 60 degrees by:

find the function value. csc330° =

Using the sin 2a formula, (sec 30° cosec 30°)/2 = 1/(2 × cos 30° sin 30°) = 1/sin 60° = 1/sin 60° = cosec 60° = 1.1547 ⇒ (sec 30° cosec 30°)/2 = 1.1547

Cot of 30 degrees

The value of cosec 60 degrees in decimal is 1.154700538. . .. Cosec 60 degrees can also be expressed using the equivalent of the given angle (60 degrees) in radians (1.04719 . . .).

The value of cosec 60 degrees is 1.1547005. . .. Cosec 60 degrees in radians is written as cosec (60° × π/180°), i.e., cosec (π/3) or cosec (1.047197. . .). In this article, we will discuss the methods to find the value of cosec 60 degrees with examples.

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Cot 60

Csc 60 degrees fraction

We can represent the cosec function in terms of the cotangent function using trig identities, cosec 60° can be written as √(1 + cot²(60°)). Here, the value of cot 60° is equal to 0.5774.

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Csc 45 degrees in fraction

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Cosec 60 degrees is the value of cosecant trigonometric function for an angle equal to 60 degrees. The value of cosec 60° is 2/√3 or 1.1547 (approx).

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Sec60

For cosec 60 degrees, the angle 60° lies between 0° and 90° (First Quadrant). Since cosecant function is positive in the first quadrant, thus cosec 60° value = 2/√3 or 1.1547005. . . Since the cosecant function is a periodic function, we can represent cosec 60° as, cosec 60 degrees = cosec(60° + n × 360°), n ∈ Z. ⇒ cosec 60° = cosec 420° = cosec 780°, and so on. Note: Since, cosecant is an odd function, the value of cosec(-60°) = -cosec(60°).

Since the cosec function can be represented using the secant function, we can write cosec 60° as sec 60°/√(sec²(60°) - 1). The value of sec 60° is equal to 2.

We know, using degree to radian conversion, θ in radians = θ in degrees × (pi/180°) ⇒ 60 degrees = 60° × (π/180°) rad = π/3 or 1.0471 . . . ∴ cosec 60° = cosec(1.0471) = 2/√3 or 1.1547005. . .

The value of cosec 60 degrees can be calculated by constructing an angle of 60° with the x-axis, and then finding the coordinates of the corresponding point (0.5, 0.866) on the unit circle. The value of cosec 60° is equal to the reciprocal of the y-coordinate (0.866). ∴ cosec 60° = 1.1547.