Sin 110 Degrees

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

What is sin 110°?

Answer

sin 110° ≈
0.9397

Angle in radians: 110° = 11π/18. The point of the angle is in quadrant II, where sine is positive.

≈ — rounded to 4 decimal places. sin 110° can't be written with square roots: 110° is not a multiple of 3°.

sin 110° = sin(180° − 70°) = sin 70° ≈ 0.9397

P(cos 110°, sin 110°) ≈ (−0.3420, 0.9397)

xyOP

P(cos 110°, sin 110°) ≈ (−0.3420, 0.9397)

Highlighted: the projection on the y-axis — sine, y ≈ 0.9397.

All four functions of 110°
FunctionExact valueDecimal
sin 110°—≈ 0.9397
cos 110°—≈ −0.3420
tan 110°—≈ −2.7475
cot 110°—≈ −0.3640

Reference angle: sin 70° ≈ 0.9397

See Also

FAQ

What is sin 110°?

sin 110° ≈ 0.9397

Why does sin 110° 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°. 110° is not, so no such exact form exists; the value is used as a decimal: sin 110° ≈ 0.9397.

Why does a calculator show −0.0442 for sin 110?

The calculator is in radian mode (RAD): it takes sin 110 as the sine of 110 radians, sin 110 rad ≈ −0.0442. Switch it to degrees (DEG): sin 110° ≈ 0.9397. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.