Exams › SSC CGL (Prelims) › General

If \(\tan \theta = \cot \theta\), what is the value of \(\theta\) (in degrees)?

1. 30°
2. 45°
3. 60°
4. 90°

Correct answer: 45°

Solution

Since \(\cot \theta = \frac{1}{\tan \theta}\), the equation becomes \(\tan \theta = \frac{1}{\tan \theta}\). So \(\tan^2 \theta = 1\), giving \(\tan \theta = 1\) for the standard acute-angle solution. Hence \(\theta = 45^\circ\).

Related SSC CGL (Prelims) General questions

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• Given that angles \(A\) and \(B\) are complementary and \(\cos A=\frac{5}{13}\), what is \(\tan B\)?
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• If $\sin^2\theta-\cos^2\theta=-\frac{1}{3}$, find the value of $\cos^2\theta$.
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