Exams › SSC CGL (Prelims) › General

Given that angles \(A\) and \(B\) are complementary and \(\cos A=\frac{5}{13}\), what is \(\tan B\)?

1. 12/5
2. 5/12
3. 4/3
4. 3/4

Correct answer: 12/5

Solution

Since \(A+B=90^\circ\), we have \(\tan B=\cot A\). Given \(\cos A=5/13\), \(\sin A=12/13\), so \(\cot A=\frac{\cos A}{\sin A}=\frac{5}{12}\).

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