Value of trigonometric function sin 765^{circ}

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3.Trigonometrical Ratios, Functions and Identities

easy

Find the value of the trigonometric function $\sin 765^{\circ}$

A

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

B

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

C

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

D

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

Solution

It is known that the values of $\sin x$ repeat after an interval of $2 n$ or $360^{\circ} .$

$\therefore \sin 765^{\circ}=\sin \left(2 \times 360^{\circ}+45^{\circ}\right)$

$=\sin 45^{\circ}=\frac{1}{\sqrt{2}}$

Standard 11

Mathematics

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