Sin 33 Degrees

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

What is sin 33°?

Answer

sin 33° ≈
0.5446

Angle in radians: 33° = 11π/60. The point of the angle is in quadrant I, where sine is positive.

≈ — rounded to 4 decimal places. An exact form of sin 33° in square roots exists, but it is unwieldy — nested radicals.

P(cos 33°, sin 33°) ≈ (0.8387, 0.5446)

xyOP

P(cos 33°, sin 33°) ≈ (0.8387, 0.5446)

Highlighted: the projection on the y-axis — sine, y ≈ 0.5446.

All four functions of 33°
FunctionExact valueDecimal
sin 33°—≈ 0.5446
cos 33°—≈ 0.8387
tan 33°—≈ 0.6494
cot 33°—≈ 1.5399

See Also

Recalculate with different values ↑

Sine of nearby angles

Anglesin
30°1/2
31°≈ 0.5150
32°≈ 0.5299
33°≈ 0.5446
34°≈ 0.5592
35°≈ 0.5736
36°√(10 − 2√5)/4

FAQ

What is sin 33°?

sin 33° ≈ 0.5446

Is there an exact value of sin 33°?

Yes: 33° 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 33° ≈ 0.5446.

Why does a calculator show 0.9999 for sin 33?

The calculator is in radian mode (RAD): it takes sin 33 as the sine of 33 radians, sin 33 rad ≈ 0.9999. Switch it to degrees (DEG): sin 33° ≈ 0.5446. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also