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A line makes an angle of $\frac{π}{4}$ with the positive directions of each of $y -$ and $z -$ axes. Then the angle that the line makes with the positive direction of
$x -$ axis, is

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Correct option is D

If α,β,γ are the angles made by a line ‘L’ with the coordinate axes in the positive direction then cos2α+cos2β+cos2γ=1Given β=π4,γ=π4Hence, cos2α+12+12=1⇒cosγ=0Therefore, γ=π2

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A line makes an angle of π4with the positive directions of each of y-and z-axes. Then the angle that the line makes with the positive direction of x-axis, is

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Ready to Test Your Skills?

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A line makes an angle of $\frac{π}{4}$ with the positive directions of each of $y -$ and $z -$ axes. Then the angle that the line makes with the positive direction of
$x -$ axis, is