Question

Find the value of the trigonometric function sin 765°

Answer 1

Solution

sin765 ° = (π/180° × 765° )

= 17π/4

sin765° = sin17π/4

= sin(4π +π /4)

= sin π/4

= 1√2

Answer 2

Answer:

$\frac{1}{\sqrt2}$

Step-by-step explanation:

We have to find the value of the trigonometric function sin 765°

We can write 765° = (720+45)°

Thus, we have

sin 765° = sin(720+45)°

Now, we know that sin (720+x)= sin x

Thus, we have

sin 765°

= sin(720+45)°

= sin 45°

$=\frac{1}{\sqrt2}$

Therefore, the value of 765° is $\frac{1}{\sqrt2}$