Tan 33 Degrees
Sin, Cos, Tan, Cot of an Angle
What is tan 33°?
Answer
tan 33° ≈
0.6494
Angle in radians: 33° = 11π/60. The point of the angle is in quadrant I, where tangent is positive.
≈ — rounded to 4 decimal places. An exact form of tan 33° in square roots exists, but it is unwieldy — nested radicals.
tan 33° = sin 33° / cos 33° ≈ 0.6494
P(cos 33°, sin 33°) ≈ (0.8387, 0.5446)
T(1, tan 33°) ≈ (1, 0.6494) — where line OP meets the line x = 1.
See Also
- Arcsin, Arccos, Arctan, Arccot - The angle from the value of its sine, cosine, tangent or cotangent: exact in degrees and π, with the check and the unit circle
- Square Root Calculator - Calculate the square root of any number
- Simplify Square Root Calculator - Write any square root in simplest radical form, step by step
- Geometry Formulas: Area, Volume, Perimeter - The formula for every standard shape, where it comes from, and worked examples
Tangent of nearby angles
FAQ
What is tan 33°?
tan 33° ≈ 0.6494
Is there an exact value of tan 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: tan 33° ≈ 0.6494.
Why does a calculator show −75.3130 for tan 33?
The calculator is in radian mode (RAD): it takes tan 33 as the tangent of 33 radians, tan 33 rad ≈ −75.3130. Switch it to degrees (DEG): tan 33° ≈ 0.6494. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.
See Also
- Tan 23 Degrees: Tangent of 23° on the Unit Circle
- Tan 24 Degrees: Tangent of 24° on the Unit Circle
- Tan 25 Degrees: Tangent of 25° on the Unit Circle
- Tan 26 Degrees: Tangent of 26° on the Unit Circle
- Tan 27 Degrees: Tangent of 27° on the Unit Circle
- Tan 28 Degrees: Tangent of 28° on the Unit Circle
- Tan 29 Degrees: Tangent of 29° on the Unit Circle
- Tan 30 Degrees: Tangent of 30° on the Unit Circle
- Tan 31 Degrees: Tangent of 31° on the Unit Circle
- Tan 32 Degrees: Tangent of 32° on the Unit Circle
- Tan 34 Degrees: Tangent of 34° on the Unit Circle
- Tan 35 Degrees: Tangent of 35° on the Unit Circle
- Tan 36 Degrees: Tangent of 36° on the Unit Circle
- Tan 37 Degrees: Tangent of 37° on the Unit Circle
- Tan 38 Degrees: Tangent of 38° on the Unit Circle
- Tan 39 Degrees: Tangent of 39° on the Unit Circle
- Tan 40 Degrees: Tangent of 40° on the Unit Circle
- Tan 41 Degrees: Tangent of 41° on the Unit Circle
- Tan 42 Degrees: Tangent of 42° on the Unit Circle
- Tan 43 Degrees: Tangent of 43° on the Unit Circle
- Тангенс 33 градусов (tg 33°) на единичной окружности
- Tangente de 33 grados (tan 33°) en el círculo unitario
- Tangente de 33 graus (tg 33°) no ciclo trigonométrico