Tan 87 Degrees
Sin, Cos, Tan, Cot of an Angle
What is tan 87°?
Answer
tan 87° ≈
19.0811
Angle in radians: 87° = 29π/60. The point of the angle is in quadrant I, where tangent is positive.
≈ — rounded to 4 decimal places. An exact form of tan 87° in square roots exists, but it is unwieldy — nested radicals.
tan 87° = sin 87° / cos 87° ≈ 19.0811
P(cos 87°, sin 87°) ≈ (0.0523, 0.9986)
T(1, tan 87°) ≈ (1, 19.0811) — 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 87°?
tan 87° ≈ 19.0811
Is there an exact value of tan 87°?
Yes: 87° 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 87° ≈ 19.0811.
Why does a calculator show −1.4424 for tan 87?
The calculator is in radian mode (RAD): it takes tan 87 as the tangent of 87 radians, tan 87 rad ≈ −1.4424. Switch it to degrees (DEG): tan 87° ≈ 19.0811. 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 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 84 Degrees: Tangent of 84° 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 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
- Tan 105 Degrees: Tangent of 105° on the Unit Circle
- Tan 106 Degrees: Tangent of 106° on the Unit Circle
- Tan 108 Degrees: Tangent of 108° on the Unit Circle
- Тангенс 87 градусов (tg 87°) на единичной окружности
- Tangente de 87 grados (tan 87°) en el círculo unitario
- Tangente de 87 graus (tg 87°) no ciclo trigonométrico