Sin 41 Degrees

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

What is sin 41°?

Answer

sin 41° ≈
0.6561

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

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

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

xyOP

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

Highlighted: the projection on the y-axis — sine, y ≈ 0.6561.

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 sin 41°?

sin 41° ≈ 0.6561

Why does sin 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: sin 41° ≈ 0.6561.

Why does a calculator show −0.1586 for sin 41?

The calculator is in radian mode (RAD): it takes sin 41 as the sine of 41 radians, sin 41 rad ≈ −0.1586. Switch it to degrees (DEG): sin 41° ≈ 0.6561. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.