## csc(π/3)

### To find the value of csc(π/3), we first need to understand what csc means

To find the value of csc(π/3), we first need to understand what csc means.

Cosecant (csc) is a trigonometric function that represents the reciprocal of the sine function. It is defined as:

csc(x) = 1 / sin(x)

So, in order to find the value of csc(π/3), we need to calculate the sine of π/3.

π/3 is an angle of 60 degrees or one-third of a full revolution (180 degrees). In a standard unit circle, we can find the sine value by looking at the y-coordinate of the corresponding point on the unit circle.

For π/3, the coordinates of the corresponding point on the unit circle are (1/2, √3/2).

Therefore, sin(π/3) = √3/2.

Now, we can calculate the value of csc(π/3) by taking the reciprocal of sin(π/3):

csc(π/3) = 1 / sin(π/3) = 1 / (√3/2) = 2 / √3

To simplify the expression, we can rationalize the denominator by multiplying the numerator and denominator by √3:

csc(π/3) = 2 / √3 * (√3 / √3) = 2√3 / 3

Therefore, csc(π/3) has a value of 2√3 / 3.

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