Sin 125 Degrees

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

What is sin 125°?

Answer

sin 125° ≈
0.8192

Angle in radians: 125° = 25π/36. The point of the angle is in quadrant II, where sine is positive.

≈ — rounded to 4 decimal places. sin 125° can't be written with square roots: 125° is not a multiple of 3°.

sin 125° = sin(180° − 55°) = sin 55° ≈ 0.8192

P(cos 125°, sin 125°) ≈ (−0.5736, 0.8192)

xyOP

P(cos 125°, sin 125°) ≈ (−0.5736, 0.8192)

Highlighted: the projection on the y-axis — sine, y ≈ 0.8192.

All four functions of 125°
FunctionExact valueDecimal
sin 125°—≈ 0.8192
cos 125°—≈ −0.5736
tan 125°—≈ −1.4281
cot 125°—≈ −0.7002

Reference angle: sin 55° ≈ 0.8192

See Also

FAQ

What is sin 125°?

sin 125° ≈ 0.8192

Why does sin 125° 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°. 125° is not, so no such exact form exists; the value is used as a decimal: sin 125° ≈ 0.8192.

Why does a calculator show −0.6160 for sin 125?

The calculator is in radian mode (RAD): it takes sin 125 as the sine of 125 radians, sin 125 rad ≈ −0.6160. Switch it to degrees (DEG): sin 125° ≈ 0.8192. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.