TS EAMCET · Maths · Three Dimensional Geometry
A line makes angles \(60^{\circ}, 45^{\circ}, \theta\) with positive \(\mathrm{X}, \mathrm{Y}, \mathrm{Z}\)-axes respectively. If \(\theta\) is an acute angle, then \(\tan \theta=\)
- A \(\sqrt{3}\)
- B \(\frac{1}{\sqrt{3}}\)
- C 1
- D 2
Answer & Solution
Correct Answer
(A) \(\sqrt{3}\)
Step-by-step Solution
Detailed explanation
\( \cos^2 \alpha + \cos^2 \beta + \cos^2 \gamma = 1 \) \( \cos^2 60^{\circ} + \cos^2 45^{\circ} + \cos^2 \theta = 1 \) \( \left(\frac{1}{2}\right)^2 + \left(\frac{1}{\sqrt{2}}\right)^2 + \cos^2 \theta = 1 \) \( \frac{1}{4} + \frac{1}{2} + \cos^2 \theta = 1 \)…
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