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Question
If a line makes an angle of `pi/4` with each of y and z-axis, then the angle which it makes with x-axis is ______.
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Solution
If a line makes an angle of `pi/4` with each of y and z-axis, then the angle which it makes with x-axis is `alpha = pi/2`.
Explanation:
Let it makes angle α with x-axis.
Then `cos^2alpha + cos^2 pi/4 + cos^2 pi/4` = 1
Which after simplification gives `alpha = pi/2`.
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