What is 2β+ 2 equal to? [NDA I 2023]

Correct Answer is : − 3281-\;32/81−8132

Correct Answer is : − 3281-\;32/81−8132

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UPSC NDA I 2023 Mathematics Solved Paper

Consider the following for the next two (02) items that follow :

Let a vector

\vec{a}=4\hat{i}-8\hat{j}+\hat{k}

make angles

\alpha, \beta, \gamma

with the positive directions of

x, y, z

axes respectively.

[NDA I 2023]

Question : 68 of 120

Marks: +1, -0

What is

\cos 2\beta+\cos 2\gamma

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