Tan 38 Degrees

Sin, Cos, Tan, Cot of an Angle
Function
Angle (°)

What is tan 38°?

Answer

tan 38° ≈
0.7813

Angle in radians: 38° = 19π/90. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 38° can't be written with square roots: 38° is not a multiple of 3°.

tan 38° = sin 38° / cos 38° ≈ 0.7813

xyOP

P(cos 38°, sin 38°) ≈ (0.7880, 0.6157)

T(1, tan 38°) ≈ (1, 0.7813) — where line OP meets the line x = 1.

All four functions of 38°
FunctionExact valueDecimal
sin 38°—≈ 0.6157
cos 38°—≈ 0.7880
tan 38°—≈ 0.7813
cot 38°—≈ 1.2799

See Also

FAQ

What is tan 38°?

tan 38° ≈ 0.7813

Why does tan 38° have no exact value?

A trigonometric value of a whole number of degrees can be written with square roots only when the angle is a multiple of 3°. 38° is not, so no such exact form exists; the value is used as a decimal: tan 38° ≈ 0.7813.

Why does a calculator show 0.3103 for tan 38?

The calculator is in radian mode (RAD): it takes tan 38 as the tangent of 38 radians, tan 38 rad ≈ 0.3103. Switch it to degrees (DEG): tan 38° ≈ 0.7813. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.