The direction cosines of the line making angles $\frac{\pi}{4}, \frac{\pi}{3}$ and $\theta\left(0 < \theta < \frac{\pi}{2}\right)$ respectively with $\mathrm{X}, \mathrm{Y}$ and Z axes are

• Correct answer
  A

  $\frac{1}{\sqrt{2}}, \frac{1}{2}, \frac{1}{2}$
• B

  $\frac{1}{\sqrt{2}}, \frac{1}{2}, \frac{\sqrt{3}}{2}$
• C

  $\frac{1}{\sqrt{2}}, \frac{1}{2}, \frac{1}{\sqrt{2}}$
• D

  $\frac{1}{\sqrt{2}}, \frac{\sqrt{3}}{2}, \frac{1}{\sqrt{2}}$

Hence, the correct answer is option: 'A'.