Sin 61 Degrees

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

What is sin 61°?

Answer

sin 61° ≈
0.8746

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

≈ — rounded to 4 decimal places. sin 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 y-axis — sine, y ≈ 0.8746.

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

Recalculate with different values ↑

Sine of nearby angles

Anglesin
58°≈ 0.8480
59°≈ 0.8572
60°√3/2
61°≈ 0.8746
62°≈ 0.8829
63°≈ 0.8910
64°≈ 0.8988

FAQ

What is sin 61°?

sin 61° ≈ 0.8746

Why does sin 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: sin 61° ≈ 0.8746.

Why does a calculator show −0.9661 for sin 61?

The calculator is in radian mode (RAD): it takes sin 61 as the sine of 61 radians, sin 61 rad ≈ −0.9661. Switch it to degrees (DEG): sin 61° ≈ 0.8746. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also