Sin 25 Degrees

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

What is sin 25°?

Answer

sin 25° ≈
0.4226

Angle in radians: 25° = 5π/36. The point of the angle is in quadrant I, where sine is positive.

≈ — rounded to 4 decimal places. sin 25° can't be written with square roots: 25° is not a multiple of 3°.

P(cos 25°, sin 25°) ≈ (0.9063, 0.4226)

xyOP

P(cos 25°, sin 25°) ≈ (0.9063, 0.4226)

Highlighted: the projection on the y-axis — sine, y ≈ 0.4226.

All four functions of 25°
FunctionExact valueDecimal
sin 25°—≈ 0.4226
cos 25°—≈ 0.9063
tan 25°—≈ 0.4663
cot 25°—≈ 2.1445

See Also

FAQ

What is sin 25°?

sin 25° ≈ 0.4226

Why does sin 25° 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°. 25° is not, so no such exact form exists; the value is used as a decimal: sin 25° ≈ 0.4226.

Why does a calculator show −0.1324 for sin 25?

The calculator is in radian mode (RAD): it takes sin 25 as the sine of 25 radians, sin 25 rad ≈ −0.1324. Switch it to degrees (DEG): sin 25° ≈ 0.4226. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.