Arcsin of −0.3

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arcsin(−0.3)?

Answer

arcsin(−0.3) ≈
−17.4576° ≈ −0.3047 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.

arcsin(−0.3) is the angle α in [−90°, 90°] with sin α = −0.3.

arcsin(−0.3) = −arcsin(0.3) ≈ −17.4576°

sin(−17.4576°) ≈ −0.3000

xyOP

α = arcsin(−0.3) ≈ −17.4576°

P ≈ (0.9539, −0.3)

P lies on the line y = −0.3 in the right half of the circle, where cos α ≥ 0; highlighted: sin α = −0.3.

All four inverse functions of −0.3
FunctionDegreesRadians
arcsin(−0.3)≈ −17.4576°≈ −0.3047
arccos(−0.3)≈ 107.4576°≈ 1.8755
arctan(−0.3)≈ −16.6992°≈ −0.2915
arccot(−0.3)≈ 106.6992°≈ 1.8623

See Also

Recalculate with different values ↑

Arcsine of nearby values

xarcsin x
−4/5≈ −53.1301°
−√2/2−45° = −π/4
−1/2−30° = −π/6
−0.3≈ −17.4576°
00° = 0
0.1≈ 5.7392°
1/5≈ 11.5370°

FAQ

What is arcsin(−0.3)?

arcsin(−0.3) ≈ −17.4576° ≈ −0.3047 rad

Why is arcsin(−0.3) ≈ −17.4576°?

arcsin is an odd function: arcsin(−x) = −arcsin x. So arcsin(−0.3) = −arcsin(0.3) ≈ −17.4576°, and this angle lies in the range [−90°, 90°].

Why does a calculator show −0.3047 for arcsin(−0.3)?

The calculator is in radian mode (RAD) and gives the angle in radians: arcsin(−0.3) ≈ −0.3047 rad. In degrees (DEG) it is ≈ −17.4576°.

See Also