Sin 127 Degrees

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

What is sin 127°?

Answer

sin 127° ≈
0.7986

Angle in radians: 127° = 127π/180. The point of the angle is in quadrant II, where sine is positive.

≈ — rounded to 4 decimal places. sin 127° can't be written with square roots: 127° is not a multiple of 3°.

sin 127° = sin(180° − 53°) = sin 53° ≈ 0.7986

P(cos 127°, sin 127°) ≈ (−0.6018, 0.7986)

xyOP

P(cos 127°, sin 127°) ≈ (−0.6018, 0.7986)

Highlighted: the projection on the y-axis — sine, y ≈ 0.7986.

All four functions of 127°
FunctionExact valueDecimal
sin 127°—≈ 0.7986
cos 127°—≈ −0.6018
tan 127°—≈ −1.3270
cot 127°—≈ −0.7536

Reference angle: sin 53° ≈ 0.7986

See Also

FAQ

What is sin 127°?

sin 127° ≈ 0.7986

Why does sin 127° 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°. 127° is not, so no such exact form exists; the value is used as a decimal: sin 127° ≈ 0.7986.

Why does a calculator show 0.9726 for sin 127?

The calculator is in radian mode (RAD): it takes sin 127 as the sine of 127 radians, sin 127 rad ≈ 0.9726. Switch it to degrees (DEG): sin 127° ≈ 0.7986. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.