Suppose tangent of x is equal to 2 thirds , and the terminal side of x is located in quadrant I. What is sine of x ?

Since tangent is opposite over adjacent, tan(x) = 2/3 means the opposite and adjacent sides can be 2 and 3. The hypotenuse is √(2² + 3²) = √13, so sin(x) = opposite/hypotenuse = 2/√13. Quadrant I confirms sine is positive, so the answer is the fraction with numerator 2 and denominator √13.

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