Tan 41 Degrees

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

What is tan 41°?

Answer

tan 41° ≈
0.8693

Angle in radians: 41° = 41π/180. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 41° can't be written with square roots: 41° is not a multiple of 3°.

tan 41° = sin 41° / cos 41° ≈ 0.8693

xyOP

P(cos 41°, sin 41°) ≈ (0.7547, 0.6561)

T(1, tan 41°) ≈ (1, 0.8693) — where line OP meets the line x = 1.

All four functions of 41°
FunctionExact valueDecimal
sin 41°—≈ 0.6561
cos 41°—≈ 0.7547
tan 41°—≈ 0.8693
cot 41°—≈ 1.1504

See Also

FAQ

What is tan 41°?

tan 41° ≈ 0.8693

Why does tan 41° 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°. 41° is not, so no such exact form exists; the value is used as a decimal: tan 41° ≈ 0.8693.

Why does a calculator show 0.1607 for tan 41?

The calculator is in radian mode (RAD): it takes tan 41 as the tangent of 41 radians, tan 41 rad ≈ 0.1607. Switch it to degrees (DEG): tan 41° ≈ 0.8693. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.