Question

what is the value of sin50.9° ?​

Answer 1

Answer:

Radians. 50 radians is several complete turns, in fact nearly 8. 50 = 15.915 π. So if we take sin(50 radians) we get: sin(50) = –0.262 374 853 704

Degrees. sin(50°) = 0.766 044 443 119

Gon (grads). There are 100 gon in a right angle, and so 400 gon in a full circle. So if we take sin(50 gon) we get: sin(50 g) = 0.707 106 781 187

Note that as 50 gon is half a right angle, it is the same as 45°, so the sine of 50 gon is the same as sin(45°).

There are other angular measures, primarily mils (a military measure commonly used for the angle of guns). However, as there are six different mils scales around the world, we’ll skip that one and leave it up to the reader to sort that out if they desire the sine of angles in mils.

Answer 2

Answer:

We know, using degree to radian conversion, θ in radians = θ in degrees × (pi/180°)

⇒ 50 degrees = 50° × (π/180°) rad = 5π/18 or 0.8726 . . .

∴ sin 50° = sin(0.8726) = 0.7660444. . .