If + = 1, then = - Vidyadip

MCQ

If $\sin \theta + \cos \theta = 1$, then $\sin \theta \cos \theta = $

✓
$0$
B
$1$
C
$2$
D
$0.5$

✓

Answer

Correct option: A.

$0$

a
(a) $\sin \theta + \cos \theta = 1$

Squaring on both sides, we get

$ \Rightarrow {\sin ^2}\theta + {\cos ^2}\theta + 2\sin \theta \cos \theta = 1$

$\therefore \sin \theta \cos \theta = 0$.

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