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Tsinθ = ma, Tcosθ = mg. Find tanθ.

1. tanθ = a/g
2. tanθ = g/a
3. tanθ = a²/g²
4. tanθ = g²/a²

Correct answer: tanθ = a/g

Solution

Dividing the first equation (Tsinθ = ma) by the second equation (Tcosθ = mg) gives tanθ = (ma)/(mg) = a/g.

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