If alpha and beta are the angles which the vector O being the origin makes with posit...........

Mathematics (NDA) Trigonometry

If α, and β are the angles which the vector $\underset{OP}{\rightarrow}$ (O being the origin) makes with positive direction of the coordinate axes, then which of the following are correct?

Select the correct answer using the code given below.

1 and 2 only

2 and 3 only

1 and 3 only

1, 2 and 3

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Explanation:

cos²α+cos²β+cos²γ=1
cos²α+cos²β=1−cos²γ=sin²γ
=> Statement 1 is correct
cos²α+cos²β+cos²γ=1
⇒1−sin²α+1−sin²β+1−sin²γ=1
⇒sin²α+sin²β+sin²γ=2
=> Statement 3 is correct