Q.

If the angles made by a line with the positive directions of X and Y-axes are complementary angles then the angle made by the line with Z- axis is

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a

0

b

π3

c

π4

d

π2

answer is D.

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Detailed Solution

α=θ ⇒β=900−θcos2α+cos2β+cos2γ=1 ⇒γ=900
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If the angles made by a line with the positive directions of X and Y-axes are complementary angles then the angle made by the line with Z- axis is