A line makes angle `theta` with `x` and `z` axis. If it makes angle `beta` with `y` axis, where `sin^2 beta=3sin^2theta`

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Q 1327212181.     A line makes angle `theta` with `x` and `z` axis. If it makes angle `beta` with `y` axis, where `sin^2 beta=3sin^2theta`, then `cos^2 theta=`?
A

`frac{2}{3}`

B

`frac{1}{5}`

C

`frac{3}{5}`

D

`frac{2}{5}`

HINT

Given that the line makes angle `theta` with `x` :and ` z` :axis and `beta` with `y`-axis. `therefore cos^2 theta+cos^2 theta+cos^2 beta=1`

Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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