Sin 27 Degrees

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

What is sin 27°?

Answer

sin 27° ≈
0.4540

Angle in radians: 27° = 3π/20. The point of the angle is in quadrant I, where sine is positive.

≈ — rounded to 4 decimal places. An exact form of sin 27° in square roots exists, but it is unwieldy — nested radicals.

P(cos 27°, sin 27°) ≈ (0.8910, 0.4540)

xyOP

P(cos 27°, sin 27°) ≈ (0.8910, 0.4540)

Highlighted: the projection on the y-axis — sine, y ≈ 0.4540.

All four functions of 27°
FunctionExact valueDecimal
sin 27°—≈ 0.4540
cos 27°—≈ 0.8910
tan 27°—≈ 0.5095
cot 27°—≈ 1.9626

See Also

Recalculate with different values ↑

Sine of nearby angles

Anglesin
24°≈ 0.4067
25°≈ 0.4226
26°≈ 0.4384
27°≈ 0.4540
28°≈ 0.4695
29°≈ 0.4848
30°1/2

FAQ

What is sin 27°?

sin 27° ≈ 0.4540

Is there an exact value of sin 27°?

Yes: 27° is a multiple of 3°, and the values of such angles can be written with square roots — but the expression is unwieldy, with nested radicals built from the values of 18° and 15° (3° = 18° − 15°). In practice the decimal is used: sin 27° ≈ 0.4540.

Why does a calculator show 0.9564 for sin 27?

The calculator is in radian mode (RAD): it takes sin 27 as the sine of 27 radians, sin 27 rad ≈ 0.9564. Switch it to degrees (DEG): sin 27° ≈ 0.4540. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also