Simplify csc(2/( square root of 3))

Problem

csc(2/√(,3))

Solution

1. Identify the expression as the cosecant of a specific value.

2. Recognize that the cosecant function csc(x) is the reciprocal of the sine function sin(x)

3. Evaluate the expression numerically if it does not correspond to a standard angle in radians or degrees. Since 2/√(,3)≈1.1547 is an input value (an angle in radians) and not a standard ratio for which we find an angle, the expression is already in its simplest exact trigonometric form.

4. Rationalize the argument if necessary, though 2/√(,3) is often written as (2√(,3))/3

Final Answer

csc(2/√(,3))=csc((2√(,3))/3)

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