if a line make an angles a b c respectively with positive x axis y axis and z axis then sin square a + sinn square b + sin square c is
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Answer
A] The line makes α,β,γ angles with x , y , z
axes
∴cos
2
α+cos
2
β+cos
2
γ=1
=1−sin
2
α+1−sin
2
β+1−sin
2
γ=1
=−sin
2
α−sin
2
β−sin
2
γ=−1−1
=∴sin
2
α+sin
2
β+sin
2
γ=2
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