Question : If $\sin Y=x$, then what will be the value of $\cos 2Y\left(\right.$ where $\left.0 \leq Y \leq 90^{\circ}\right)$?
Option 1: $(\sqrt{ 2} -1) x$
Option 2: $\sqrt{2} x$
Option 3: $1-2 x$
Option 4: $1-2 x^2$
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Correct Answer: $1-2 x^2$
Solution :
Given, $\sin Y=x$
Now, $\cos 2 Y=1-2\sin^2A=1-2x^2$
Hence, the correct answer is $1-2x^2$.
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