Tan 53 Degrees

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

What is tan 53°?

Answer

tan 53° ≈
1.3270

Angle in radians: 53° = 53π/180. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 53° can't be written with square roots: 53° is not a multiple of 3°.

tan 53° = sin 53° / cos 53° ≈ 1.3270

xyOP

P(cos 53°, sin 53°) ≈ (0.6018, 0.7986)

T(1, tan 53°) ≈ (1, 1.3270) — where line OP meets the line x = 1.

All four functions of 53°
FunctionExact valueDecimal
sin 53°—≈ 0.7986
cos 53°—≈ 0.6018
tan 53°—≈ 1.3270
cot 53°—≈ 0.7536

See Also

FAQ

What is tan 53°?

tan 53° ≈ 1.3270

Why does tan 53° 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°. 53° is not, so no such exact form exists; the value is used as a decimal: tan 53° ≈ 1.3270.

Why does a calculator show −0.4312 for tan 53?

The calculator is in radian mode (RAD): it takes tan 53 as the tangent of 53 radians, tan 53 rad ≈ −0.4312. Switch it to degrees (DEG): tan 53° ≈ 1.3270. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.