2√3/3
csc(π/3)
To simplify 2√3/3, we can follow these steps:
Step 1: Rationalize the denominator.
We can do this by multiplying both the numerator and denominator by the conjugate of the denominator, which is 3√3. This will eliminate the radical in the denominator, leaving us with a rational number.
2√3/3 x (3√3/3√3) = 6√9/9
Step 2: Simplify the expression.
The square root of 9 is 3, so we can simplify 6√9 to 6 x 3 = 18. Therefore:
2√3/3 = 18/9 or 2/√3
Final Answer: 2/√3 or 18/9
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