Sin 179 Degrees

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

What is sin 179°?

Answer

sin 179° ≈
0.0175

Angle in radians: 179° = 179π/180. The point of the angle is in quadrant II, where sine is positive.

≈ — rounded to 4 decimal places. sin 179° can't be written with square roots: 179° is not a multiple of 3°.

sin 179° = sin(180° − 1°) = sin 1° ≈ 0.0175

P(cos 179°, sin 179°) ≈ (−0.9998, 0.0175)

xyOP

P(cos 179°, sin 179°) ≈ (−0.9998, 0.0175)

Highlighted: the projection on the y-axis — sine, y ≈ 0.0175.

All four functions of 179°
FunctionExact valueDecimal
sin 179°—≈ 0.0175
cos 179°—≈ −0.9998
tan 179°—≈ −0.0175
cot 179°—≈ −57.2900

Reference angle: sin 1° ≈ 0.0175

See Also

Recalculate with different values ↑

Sine of nearby angles

Anglesin
165°(√6 − √2)/4
167°≈ 0.2250
175°≈ 0.0872
179°≈ 0.0175
180°0
195°−(√6 − √2)/4
198°−(√5 − 1)/4

FAQ

What is sin 179°?

sin 179° ≈ 0.0175

Why does sin 179° 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°. 179° is not, so no such exact form exists; the value is used as a decimal: sin 179° ≈ 0.0175.

Why does a calculator show 0.0707 for sin 179?

The calculator is in radian mode (RAD): it takes sin 179 as the sine of 179 radians, sin 179 rad ≈ 0.0707. Switch it to degrees (DEG): sin 179° ≈ 0.0175. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also