Tan 50 Degrees

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

What is tan 50°?

Answer

tan 50° ≈
1.1918

Angle in radians: 50° = 5π/18. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 50° can't be written with square roots: 50° is not a multiple of 3°.

tan 50° = sin 50° / cos 50° ≈ 1.1918

xyOP

P(cos 50°, sin 50°) ≈ (0.6428, 0.7660)

T(1, tan 50°) ≈ (1, 1.1918) — where line OP meets the line x = 1.

All four functions of 50°
FunctionExact valueDecimal
sin 50°—≈ 0.7660
cos 50°—≈ 0.6428
tan 50°—≈ 1.1918
cot 50°—≈ 0.8391

See Also

FAQ

What is tan 50°?

tan 50° ≈ 1.1918

Why does tan 50° 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°. 50° is not, so no such exact form exists; the value is used as a decimal: tan 50° ≈ 1.1918.

Why does a calculator show −0.2719 for tan 50?

The calculator is in radian mode (RAD): it takes tan 50 as the tangent of 50 radians, tan 50 rad ≈ −0.2719. Switch it to degrees (DEG): tan 50° ≈ 1.1918. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.