If a makes30^@ with the positive directi...

If a makes`30^@` with the positive direction of x-axis, angle `beta` with the positive direction of y-axis and angle `gamma` with the positive direction of z-axis, then what is `cos^2beta+cos^2gamma` eqaul to ?

`1//4`

`1//2`

`3//4`

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Verified by Experts

The correct Answer is:

Direction cosines are
`cos30^@,cosbeta and cosgamma`.
Since we know
`cos^230+cos^2beta =cos^2gamma=1`
`rArr cos^2beta+cos^2gamma=1/4 ( :' cos 30^@=sqrt3/2)`

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