Cos 33 Degrees

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

What is cos 33°?

Answer

cos 33° ≈
0.8387

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

≈ — rounded to 4 decimal places. An exact form of cos 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 x-axis — cosine, x ≈ 0.8387.

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 ↑

Cosine of nearby angles

Anglecos
30°√3/2
31°≈ 0.8572
32°≈ 0.8480
33°≈ 0.8387
34°≈ 0.8290
35°≈ 0.8192
36°(√5 + 1)/4

FAQ

What is cos 33°?

cos 33° ≈ 0.8387

Is there an exact value of cos 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: cos 33° ≈ 0.8387.

Why does a calculator show −0.0133 for cos 33?

The calculator is in radian mode (RAD): it takes cos 33 as the cosine of 33 radians, cos 33 rad ≈ −0.0133. Switch it to degrees (DEG): cos 33° ≈ 0.8387. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also