If A + A =1, then 2 A is equal to - Vidyadip

MCQ

If $\sin A +\cos A =1$, then $\sin 2 A$ is equal to

A
1
B
2
✓
$0$
D
$\frac{1}{2}$

✓

Answer

Correct option: C.

$0$

(C)
Given, $\sin A +\cos A =1$
Squaring on both sides, we get
$(\sin A+\cos A)^2=1$
$\Rightarrow 1+\sin 2 A=1$
$\Rightarrow \sin 2 A=0$

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