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Suppose tan(x) = Two-thirds, and the terminal side of x is located in quadrant I. What is sin(x)? StartFraction 2 Over StartRoot 13 EndRoot EndFraction StartFraction 3 Over StartRoot 13 EndRoot EndFraction Three-halves StartFraction StartRoot 13 EndRoot Over 2 EndFraction.

Answer :

The value will be sin(x) = 2/√13

How to get the value?

Given tan(x) = 2/3

According to TOA, tan(x) = opposite/adjacent = 2/3

opposite = 2

adjacent = 3

Hyp² = opp²+adj²

Hyp² = 2²+3²

Hyp² = 4+9

Hyp² = 13

Hyp = √13

Hence  sin(x) = 2/√13

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