Tan 59 Degrees

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

What is tan 59°?

Answer

tan 59° ≈
1.6643

Angle in radians: 59° = 59π/180. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 59° can't be written with square roots: 59° is not a multiple of 3°.

tan 59° = sin 59° / cos 59° ≈ 1.6643

xyOP

P(cos 59°, sin 59°) ≈ (0.5150, 0.8572)

T(1, tan 59°) ≈ (1, 1.6643) — where line OP meets the line x = 1.

All four functions of 59°
FunctionExact valueDecimal
sin 59°—≈ 0.8572
cos 59°—≈ 0.5150
tan 59°—≈ 1.6643
cot 59°—≈ 0.6009

See Also

FAQ

What is tan 59°?

tan 59° ≈ 1.6643

Why does tan 59° have no exact value?

A trigonometric value of a whole number of degrees can be written with square roots only when the angle is a multiple of 3°. 59° is not, so no such exact form exists; the value is used as a decimal: tan 59° ≈ 1.6643.

Why does a calculator show −0.8258 for tan 59?

The calculator is in radian mode (RAD): it takes tan 59 as the tangent of 59 radians, tan 59 rad ≈ −0.8258. Switch it to degrees (DEG): tan 59° ≈ 1.6643. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.