Sin 85 Degrees

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

What is sin 85°?

Answer

sin 85° ≈
0.9962

Angle in radians: 85° = 17π/36. The point of the angle is in quadrant I, where sine is positive.

≈ — rounded to 4 decimal places. sin 85° can't be written with square roots: 85° is not a multiple of 3°.

P(cos 85°, sin 85°) ≈ (0.0872, 0.9962)

xyOP

P(cos 85°, sin 85°) ≈ (0.0872, 0.9962)

Highlighted: the projection on the y-axis — sine, y ≈ 0.9962.

All four functions of 85°
FunctionExact valueDecimal
sin 85°—≈ 0.9962
cos 85°—≈ 0.0872
tan 85°—≈ 11.4301
cot 85°—≈ 0.0875

See Also

Recalculate with different values ↑

Sine of nearby angles

Anglesin
82°≈ 0.9903
83°≈ 0.9925
84°≈ 0.9945
85°≈ 0.9962
86°≈ 0.9976
87°≈ 0.9986
88°≈ 0.9994

FAQ

What is sin 85°?

sin 85° ≈ 0.9962

Why does sin 85° 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°. 85° is not, so no such exact form exists; the value is used as a decimal: sin 85° ≈ 0.9962.

Why does a calculator show −0.1761 for sin 85?

The calculator is in radian mode (RAD): it takes sin 85 as the sine of 85 radians, sin 85 rad ≈ −0.1761. Switch it to degrees (DEG): sin 85° ≈ 0.9962. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also