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Find the values of the trigonometric fu...

Find the values of the trigonometric function sin `765^(@)`

A

`sqrt3/2`

B

`1/sqrt2`

C

`1/2`

D

`-1/sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
B
`sin 765^@ = sin (2 × 360^@ + 45^@)`
We know that the values of `sin x` repeat after an interval of `360^@` or `2 π.`
`⇒ sin 765^@ = sin 45^@`
`⇒ sin 765^@ = 1 / sqrt2` (Using trigonometric table)
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