Tan 84 Degrees
Sin, Cos, Tan, Cot of an Angle
What is tan 84°?
Answer
tan 84° ≈
9.5144
Angle in radians: 84° = 7π/15. The point of the angle is in quadrant I, where tangent is positive.
≈ — rounded to 4 decimal places. An exact form of tan 84° in square roots exists, but it is unwieldy — nested radicals.
tan 84° = sin 84° / cos 84° ≈ 9.5144
P(cos 84°, sin 84°) ≈ (0.1045, 0.9945)
T(1, tan 84°) ≈ (1, 9.5144) — where line OP meets the line x = 1; T is beyond the drawing, the arrow points to it.
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 84°?
tan 84° ≈ 9.5144
Is there an exact value of tan 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: tan 84° ≈ 9.5144.
Why does a calculator show −1.0782 for tan 84?
The calculator is in radian mode (RAD): it takes tan 84 as the tangent of 84 radians, tan 84 rad ≈ −1.0782. Switch it to degrees (DEG): tan 84° ≈ 9.5144. 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 74 Degrees: Tangent of 74° on the Unit Circle
- Tan 75 Degrees: Tangent of 75° on the Unit Circle
- Tan 76 Degrees: Tangent of 76° on the Unit Circle
- Tan 77 Degrees: Tangent of 77° on the Unit Circle
- Tan 78 Degrees: Tangent of 78° on the Unit Circle
- Tan 79 Degrees: Tangent of 79° on the Unit Circle
- Tan 80 Degrees: Tangent of 80° on the Unit Circle
- Tan 81 Degrees: Tangent of 81° on the Unit Circle
- Tan 82 Degrees: Tangent of 82° on the Unit Circle
- Tan 83 Degrees: Tangent of 83° on the Unit Circle
- Tan 85 Degrees: Tangent of 85° on the Unit Circle
- Tan 86 Degrees: Tangent of 86° on the Unit Circle
- Tan 87 Degrees: Tangent of 87° on the Unit Circle
- Tan 88 Degrees: Tangent of 88° on the Unit Circle
- Tan 89 Degrees: Tangent of 89° on the Unit Circle
- Tan 90 Degrees: Tangent of 90° on the Unit Circle
- Tan 97 Degrees: Tangent of 97° on the Unit Circle
- Tan 98 Degrees: Tangent of 98° on the Unit Circle
- Tan 100 Degrees: Tangent of 100° on the Unit Circle
- Tan 101 Degrees: Tangent of 101° on the Unit Circle
- Тангенс 84 градусов (tg 84°) на единичной окружности
- Tangente de 84 grados (tan 84°) en el círculo unitario
- Tangente de 84 graus (tg 84°) no ciclo trigonométrico