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If (sinA)/(sinB)=(sqrt(3))/2 and (cosA)/...

If `(sinA)/(sinB)=(sqrt(3))/2 and (cosA)/(cosB)=(sqrt(5))/2, 0 < A, B < pi/2,` then `tanA+tanB` is equal to

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To solve the problem, we need to find the value of \( \tan A + \tan B \) given the relationships between \( \sin A \), \( \sin B \), \( \cos A \), and \( \cos B \). ### Step-by-Step Solution: 1. **Given Relationships**: \[ \frac{\sin A}{\sin B} = \frac{\sqrt{3}}{2} \quad \text{and} \quad \frac{\cos A}{\cos B} = \frac{\sqrt{5}}{2} \] ...
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