JEE Math Practice Question
A line makes the same angle $$\theta $$, with each of the $$x$$ and $$z$$ axis. If the angle $$\beta \,$$, which it makes with y-axis, is such that $$\,{\sin ^2}\beta = 3{\sin ^2}\theta ,$$ then $${\cos ^2}\theta $$ equals :
- A.$${2 \over 5}$$
- B.$${1 \over 5}$$
- C.$${3 \over 5}$$
- D.$${2 \over 3}$$
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