Question

Find the values of the trigonometric function for the following: sin $sin 765\textdegree$.

Answer 1

Given, sin( 765°)

we can write , 765° = 720° + 45°
= 2 × 360° + 45°

so, sin(765°) = sin(2 × 360° + 45°)

we know, sin(n × 360° + x) = sinx , where n is an integer.

so, sin(2 × 360° + 45°) = sin45° = 1/√2

hence, sin(765°) = 1/√2