Arcsin of 3/5

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arcsin(3/5)?

Answer

arcsin(3/5) ≈
36.8699° ≈ 0.6435 rad

Range: arcsin x is an angle from −90° to 90°, so the answer is unique.

≈ — the value is not a table one; rounded to 4 decimal places.

3/5 = 0.6.

arcsin(3/5) is the angle α in [−90°, 90°] with sin α = 3/5.

sin 36.8699° ≈ 0.6000

xyOP

α = arcsin(3/5) ≈ 36.8699°

P = (0.8, 0.6)

P lies on the line y = 3/5 in the right half of the circle, where cos α ≥ 0; highlighted: sin α = 3/5.

All four inverse functions of 3/5
FunctionDegreesRadians
arcsin(3/5)≈ 36.8699°≈ 0.6435
arccos(3/5)≈ 53.1301°≈ 0.9273
arctan(3/5)≈ 30.9638°≈ 0.5404
arccot(3/5)≈ 59.0362°≈ 1.0304

See Also

FAQ

What is arcsin(3/5)?

arcsin(3/5) ≈ 36.8699° ≈ 0.6435 rad

How to convert arcsin(3/5) to radians?

Multiply the angle in degrees by π/180: 36.8699° × π/180 ≈ 0.6435 rad.

Why does a calculator show 0.6435 for arcsin(3/5)?

The calculator is in radian mode (RAD) and gives the angle in radians: arcsin(3/5) ≈ 0.6435 rad. In degrees (DEG) it is ≈ 36.8699°.