Tan 58 Degrees

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

What is tan 58°?

Answer

tan 58° ≈
1.6003

Angle in radians: 58° = 29π/90. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 58° can't be written with square roots: 58° is not a multiple of 3°.

tan 58° = sin 58° / cos 58° ≈ 1.6003

xyOP

P(cos 58°, sin 58°) ≈ (0.5299, 0.8480)

T(1, tan 58°) ≈ (1, 1.6003) — where line OP meets the line x = 1.

All four functions of 58°
FunctionExact valueDecimal
sin 58°—≈ 0.8480
cos 58°—≈ 0.5299
tan 58°—≈ 1.6003
cot 58°—≈ 0.6249

See Also

FAQ

What is tan 58°?

tan 58° ≈ 1.6003

Why does tan 58° 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°. 58° is not, so no such exact form exists; the value is used as a decimal: tan 58° ≈ 1.6003.

Why does a calculator show 8.3309 for tan 58?

The calculator is in radian mode (RAD): it takes tan 58 as the tangent of 58 radians, tan 58 rad ≈ 8.3309. Switch it to degrees (DEG): tan 58° ≈ 1.6003. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.