If =45 then 2 1+ ^2 is: - Vidyadip

MCQ

If $\theta=45$ then $\frac{2\tan\theta}{1+\tan^2\theta}\text{is}:$

✓
$1$
B
$0$
C
$2$
D
$3$

✓

Answer

Correct option: A.

$1$

$\frac{2\tan\theta}{1+\tan^2\theta}$
$=\frac{2\tan45^\circ}{1+\tan^245^\circ}$
$=\frac{2\times1}{1+1}=\frac{2}{2}=1$

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