Question

2.
If a line makes an angle of 45° with
the positive directions of each ofx andy axes, what angle does it make withthe positive direction of z axis?​

Answer 1

Since line makes an angle of

4/π

with positive direction of each of x-axis and y-axis, therefore α=

4/π

,β= 4/π

We know that,

cos /2

α+cos /2

β+cos /2

γ=1

⇒cos /2

4/π

+cos /2

4/π

+cos /2

γ=1

⇒

2/1

+

2/1

+cos /2

γ=1

⇒cos /2

γ=0

⇒γ=90

0

Answer 2

π/4 = 45°

don't confuse in 45° and π/4.