Tan 61 Degrees

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

What is tan 61°?

Answer

tan 61° ≈
1.8040

Angle in radians: 61° = 61π/180. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 61° can't be written with square roots: 61° is not a multiple of 3°.

tan 61° = sin 61° / cos 61° ≈ 1.8040

xyOP

P(cos 61°, sin 61°) ≈ (0.4848, 0.8746)

T(1, tan 61°) ≈ (1, 1.8040) — where line OP meets the line x = 1.

All four functions of 61°
FunctionExact valueDecimal
sin 61°—≈ 0.8746
cos 61°—≈ 0.4848
tan 61°—≈ 1.8040
cot 61°—≈ 0.5543

See Also

FAQ

What is tan 61°?

tan 61° ≈ 1.8040

Why does tan 61° 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°. 61° is not, so no such exact form exists; the value is used as a decimal: tan 61° ≈ 1.8040.

Why does a calculator show 3.7432 for tan 61?

The calculator is in radian mode (RAD): it takes tan 61 as the tangent of 61 radians, tan 61 rad ≈ 3.7432. Switch it to degrees (DEG): tan 61° ≈ 1.8040. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.