AP EAMCET · Maths · Three Dimensional Geometry
A ray makes angles \(\frac{\pi}{3}\) and \(\frac{\pi}{4}\) with \(Y\) and \(Z\)-axes respectively. Then, the value of the sine of the angle made by the ray with \(X\)-axis is
- A \(\frac{\sqrt{3}}{2}\)
- B \(\frac{1}{2}\)
- C \(\frac{1}{\sqrt{2}}\)
- D \(1\)
Answer & Solution
Correct Answer
(A) \(\frac{\sqrt{3}}{2}\)
Step-by-step Solution
Detailed explanation
If \(\alpha, \beta, \gamma\) are angles made by a ray with \(X, Y\) and \(Z\)-axes respectively, then \(\cos ^2 \alpha+\cos ^2 \beta+\cos ^2 \gamma=1\)…
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