Sin 84 Degrees

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

What is sin 84°?

Answer

sin 84° ≈
0.9945

Angle in radians: 84° = 7π/15. The point of the angle is in quadrant I, where sine is positive.

≈ — rounded to 4 decimal places. An exact form of sin 84° in square roots exists, but it is unwieldy — nested radicals.

P(cos 84°, sin 84°) ≈ (0.1045, 0.9945)

xyOP

P(cos 84°, sin 84°) ≈ (0.1045, 0.9945)

Highlighted: the projection on the y-axis — sine, y ≈ 0.9945.

All four functions of 84°
FunctionExact valueDecimal
sin 84°—≈ 0.9945
cos 84°—≈ 0.1045
tan 84°—≈ 9.5144
cot 84°—≈ 0.1051

See Also

FAQ

What is sin 84°?

sin 84° ≈ 0.9945

Is there an exact value of sin 84°?

Yes: 84° 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 84° ≈ 0.9945.

Why does a calculator show 0.7332 for sin 84?

The calculator is in radian mode (RAD): it takes sin 84 as the sine of 84 radians, sin 84 rad ≈ 0.7332. Switch it to degrees (DEG): sin 84° ≈ 0.9945. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.