Sin 87 Degrees
Sin, Cos, Tan, Cot of an Angle
What is sin 87°?
Answer
sin 87° ≈
0.9986
Angle in radians: 87° = 29π/60. The point of the angle is in quadrant I, where sine is positive.
≈ — rounded to 4 decimal places. An exact form of sin 87° in square roots exists, but it is unwieldy — nested radicals.
P(cos 87°, sin 87°) ≈ (0.0523, 0.9986)
P(cos 87°, sin 87°) ≈ (0.0523, 0.9986)
Highlighted: the projection on the y-axis — sine, y ≈ 0.9986.
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
FAQ
What is sin 87°?
sin 87° ≈ 0.9986
Is there an exact value of sin 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: sin 87° ≈ 0.9986.
Why does a calculator show −0.8218 for sin 87?
The calculator is in radian mode (RAD): it takes sin 87 as the sine of 87 radians, sin 87 rad ≈ −0.8218. Switch it to degrees (DEG): sin 87° ≈ 0.9986. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.
See Also
- Sin 77 Degrees: Sine of 77° on the Unit Circle
- Sin 78 Degrees: Sine of 78° on the Unit Circle
- Sin 79 Degrees: Sine of 79° on the Unit Circle
- Sin 80 Degrees: Sine of 80° on the Unit Circle
- Sin 81 Degrees: Sine of 81° on the Unit Circle
- Sin 82 Degrees: Sine of 82° on the Unit Circle
- Sin 83 Degrees: Sine of 83° on the Unit Circle
- Sin 84 Degrees: Sine of 84° on the Unit Circle
- Sin 85 Degrees: Sine of 85° on the Unit Circle
- Sin 86 Degrees: Sine of 86° on the Unit Circle
- Sin 88 Degrees: Sine of 88° on the Unit Circle
- Sin 89 Degrees: Sine of 89° on the Unit Circle
- Sin 90 Degrees: Sine of 90° on the Unit Circle
- Sin 97 Degrees: Sine of 97° on the Unit Circle
- Sin 98 Degrees: Sine of 98° on the Unit Circle
- Sin 100 Degrees: Sine of 100° on the Unit Circle
- Sin 101 Degrees: Sine of 101° on the Unit Circle
- Sin 105 Degrees: Sine of 105° on the Unit Circle
- Sin 106 Degrees: Sine of 106° on the Unit Circle
- Sin 108 Degrees: Sine of 108° on the Unit Circle
- Синус 87 градусов (sin 87°) на единичной окружности
- Seno de 87 grados (sen 87°) en el círculo unitario
- Seno de 87 graus (sen 87°) no ciclo trigonométrico