sin(180 + 0)

You still have whatever if you add zero to it. So what is the sine of a 180 degree straight angle.

the way that you would work it out is..

sin(180+0)= sin(180)cos(0)+ cos(180)sin(0) which gives you the same answer as sin(180)

To find the value of sin(180 + 0), we can use the trigonometric identity that relates the sine of an angle to the sine of its supplementary angle.

The supplementary angle of 180 degrees is 180 + 180 = 360 degrees. So sin(180 + 0) is equal to sin(360).

The sine function has a periodicity of 360 degrees (or 2π in radians), meaning that its values repeat after every 360 degrees. Therefore, sin(360) has the same value as sin(0), which is 0.

So, sin(180 + 0) = sin(360) = sin(0) = 0.