Cos 61 Degrees

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

What is cos 61°?

Answer

cos 61° ≈
0.4848

Angle in radians: 61° = 61π/180. The point of the angle is in quadrant I, where cosine is positive.

≈ — rounded to 4 decimal places. cos 61° can't be written with square roots: 61° is not a multiple of 3°.

P(cos 61°, sin 61°) ≈ (0.4848, 0.8746)

xyOP

P(cos 61°, sin 61°) ≈ (0.4848, 0.8746)

Highlighted: the projection on the x-axis — cosine, x ≈ 0.4848.

All four functions of 61°
FunctionExact valueDecimal
sin 61°—≈ 0.8746
cos 61°—≈ 0.4848
tan 61°—≈ 1.8040
cot 61°—≈ 0.5543

See Also

FAQ

What is cos 61°?

cos 61° ≈ 0.4848

Why does cos 61° 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°. 61° is not, so no such exact form exists; the value is used as a decimal: cos 61° ≈ 0.4848.

Why does a calculator show −0.2581 for cos 61?

The calculator is in radian mode (RAD): it takes cos 61 as the cosine of 61 radians, cos 61 rad ≈ −0.2581. Switch it to degrees (DEG): cos 61° ≈ 0.4848. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.