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

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