Tan 27 Degrees

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

What is tan 27°?

Answer

tan 27° ≈
0.5095

Angle in radians: 27° = 3π/20. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. An exact form of tan 27° in square roots exists, but it is unwieldy — nested radicals.

tan 27° = sin 27° / cos 27° ≈ 0.5095

xyOP

P(cos 27°, sin 27°) ≈ (0.8910, 0.4540)

T(1, tan 27°) ≈ (1, 0.5095) — where line OP meets the line x = 1.

All four functions of 27°
FunctionExact valueDecimal
sin 27°—≈ 0.4540
cos 27°—≈ 0.8910
tan 27°—≈ 0.5095
cot 27°—≈ 1.9626

See Also

Recalculate with different values ↑

Tangent of nearby angles

Angletan
24°≈ 0.4452
25°≈ 0.4663
26°≈ 0.4877
27°≈ 0.5095
28°≈ 0.5317
29°≈ 0.5543
30°√3/3

FAQ

What is tan 27°?

tan 27° ≈ 0.5095

Is there an exact value of tan 27°?

Yes: 27° 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 27° ≈ 0.5095.

Why does a calculator show −3.2737 for tan 27?

The calculator is in radian mode (RAD): it takes tan 27 as the tangent of 27 radians, tan 27 rad ≈ −3.2737. Switch it to degrees (DEG): tan 27° ≈ 0.5095. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also