Question

State True or False

$\sin {765}^o=-\frac{1}{\sqrt{2}}$

• A. True
• B. False

Answer 1

The correct option is B False

As we know that

$\sin (2n\pi +x)=\sin x$ where $n$ is any integer

$\sin {765}^{\circ }=\sin \frac{{765}^{\circ }}{{180}^{\circ }}\pi =\sin \frac{17\pi }{4}=\sin (4\pi +\frac{\pi }{4})=\sin \frac{\pi }{4}=\frac{1}{\sqrt{2}}$

So the given relation is $\text{False}$