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If a vector makes angle α, β and γ with the x-axis, y-axis and z-axis respectively then the value of (sin2α + sin2β + sin2γ) is

A. 1

B. 2

C. 0

D. 3

1 Answer

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Best answer

Answer is : B. 2

Given - A vector makes angle α, β and γ with the x-axis, y-axis and z-axis respectively.

To Find - (sin2α + sin2β + sin2γ)

Formula to be used - cos2α + cos2β + cos2γ = 1

Hence,

sin2α + sin2β + sin2γ

= (1 - cos2α) +(1 - cos2β) + (1 - cos2γ)

= 3 – (cos2α + cos2β + cos2γ)

= 3 -1

= 2

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