Tan 52 Degrees

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

What is tan 52°?

Answer

tan 52° ≈
1.2799

Angle in radians: 52° = 13π/45. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 52° can't be written with square roots: 52° is not a multiple of 3°.

tan 52° = sin 52° / cos 52° ≈ 1.2799

xyOP

P(cos 52°, sin 52°) ≈ (0.6157, 0.7880)

T(1, tan 52°) ≈ (1, 1.2799) — where line OP meets the line x = 1.

All four functions of 52°
FunctionExact valueDecimal
sin 52°—≈ 0.7880
cos 52°—≈ 0.6157
tan 52°—≈ 1.2799
cot 52°—≈ 0.7813

See Also

FAQ

What is tan 52°?

tan 52° ≈ 1.2799

Why does tan 52° 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°. 52° is not, so no such exact form exists; the value is used as a decimal: tan 52° ≈ 1.2799.

Why does a calculator show −6.0533 for tan 52?

The calculator is in radian mode (RAD): it takes tan 52 as the tangent of 52 radians, tan 52 rad ≈ −6.0533. Switch it to degrees (DEG): tan 52° ≈ 1.2799. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.