Cos 71 Degrees

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

What is cos 71°?

Answer

cos 71° ≈
0.3256

Angle in radians: 71° = 71π/180. The point of the angle is in quadrant I, where cosine is positive.

≈ — rounded to 4 decimal places. cos 71° can't be written with square roots: 71° is not a multiple of 3°.

P(cos 71°, sin 71°) ≈ (0.3256, 0.9455)

xyOP

P(cos 71°, sin 71°) ≈ (0.3256, 0.9455)

Highlighted: the projection on the x-axis — cosine, x ≈ 0.3256.

All four functions of 71°
FunctionExact valueDecimal
sin 71°—≈ 0.9455
cos 71°—≈ 0.3256
tan 71°—≈ 2.9042
cot 71°—≈ 0.3443

See Also

Recalculate with different values ↑

Cosine of nearby angles

Anglecos
68°≈ 0.3746
69°≈ 0.3584
70°≈ 0.3420
71°≈ 0.3256
72°(√5 − 1)/4
73°≈ 0.2924
74°≈ 0.2756

FAQ

What is cos 71°?

cos 71° ≈ 0.3256

Why does cos 71° 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°. 71° is not, so no such exact form exists; the value is used as a decimal: cos 71° ≈ 0.3256.

Why does a calculator show −0.3090 for cos 71?

The calculator is in radian mode (RAD): it takes cos 71 as the cosine of 71 radians, cos 71 rad ≈ −0.3090. Switch it to degrees (DEG): cos 71° ≈ 0.3256. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also