If a line makes 30^{\circ} 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 ^2 \beta+\cos ^2 \gamma equal to?

UPSC NDA I 2013 Mathematics Paper

Question : 4 of 120

Marks: +1, -0

If a line makes 30∘ with the positive direction of x-axis, angle β with the positive direction of y-axis and angle γ with the positive direction of z-axis, then what is cos2β+cos2γ equal to?

1∕4
1∕2
3∕4
1

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