765^ is equal to - Vidyadip

MCQ

$\sin 765^{\circ}$ is equal to

A
1
B
$0$
C
$\frac{\sqrt{3}}{2}$
✓
$\frac{1}{\sqrt{2}}$

✓

Answer

Correct option: D.

$\frac{1}{\sqrt{2}}$

(D)
$\sin 765^{\circ}=\sin (720+45)^{\circ}$
$=\sin \left(2 \times 360^{\circ}+45^{\circ}\right)$
$=\sin 45^{\circ}=\frac{1}{\sqrt{2}}$

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