Cos 16 Degrees

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

What is cos 16°?

Answer

cos 16° ≈
0.9613

Angle in radians: 16° = 4π/45. The point of the angle is in quadrant I, where cosine is positive.

≈ — rounded to 4 decimal places. cos 16° can't be written with square roots: 16° is not a multiple of 3°.

P(cos 16°, sin 16°) ≈ (0.9613, 0.2756)

xyOP

P(cos 16°, sin 16°) ≈ (0.9613, 0.2756)

Highlighted: the projection on the x-axis — cosine, x ≈ 0.9613.

All four functions of 16°
FunctionExact valueDecimal
sin 16°—≈ 0.2756
cos 16°—≈ 0.9613
tan 16°—≈ 0.2867
cot 16°—≈ 3.4874

See Also

Recalculate with different values ↑

Cosine of nearby angles

Anglecos
13°≈ 0.9744
14°≈ 0.9703
15°(√6 + √2)/4
16°≈ 0.9613
17°≈ 0.9563
18°√(10 + 2√5)/4
19°≈ 0.9455

FAQ

What is cos 16°?

cos 16° ≈ 0.9613

Why does cos 16° 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°. 16° is not, so no such exact form exists; the value is used as a decimal: cos 16° ≈ 0.9613.

Why does a calculator show −0.9577 for cos 16?

The calculator is in radian mode (RAD): it takes cos 16 as the cosine of 16 radians, cos 16 rad ≈ −0.9577. Switch it to degrees (DEG): cos 16° ≈ 0.9613. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also