Arctan of −0.3

Arcsin, Arccos, Arctan, Arccot
Function
x

What is arctan(−0.3)?

Answer

arctan(−0.3) ≈
−16.6992° ≈ −0.2915 rad

Range: arctan x is an angle strictly between −90° and 90°, so the answer is unique.

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

arctan(−0.3) is the angle α in (−90°, 90°) with tan α = −0.3.

arctan(−0.3) = −arctan(0.3) ≈ −16.6992°

tan(−16.6992°) ≈ −0.3000

xyOP

α = arctan(−0.3) ≈ −16.6992°

P ≈ (0.9578, −0.2873)

T(1, −0.3) is where line OP meets the line x = 1; highlighted: tan 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 ↑

Arctangent of nearby values

xarctan x
−1−45° = −π/4
−4/5≈ −38.6598°
−√3/3−30° = −π/6
−0.3≈ −16.6992°
00° = 0
0.1≈ 5.7106°
1/5≈ 11.3099°

FAQ

What is arctan(−0.3)?

arctan(−0.3) ≈ −16.6992° ≈ −0.2915 rad

Why is arctan(−0.3) ≈ −16.6992°?

arctan is an odd function: arctan(−x) = −arctan x. So arctan(−0.3) = −arctan(0.3) ≈ −16.6992°, and this angle lies in the range (−90°, 90°).

Why does a calculator show −0.2915 for arctan(−0.3)?

The calculator is in radian mode (RAD) and gives the angle in radians: arctan(−0.3) ≈ −0.2915 rad. In degrees (DEG) it is ≈ −16.6992°.

See Also