Question

Find the values of the trigonometric function sin 765°

Answer 1

The period of sin x is 360 degrees.After every integral multiples of 360 degree it will repeat its value.

765 = 720 + 45
= 2 × 360 + 45

sin765^∘=sin(2×360^∘+45^∘)

sin⁡765^∘=sin⁡(2×360^∘+45^∘)

⇒sin45^∘=1/√2

So the answer is 1 /√2