Tan 7 Degrees

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

What is tan 7°?

Answer

tan 7° ≈
0.1228

Angle in radians: 7° = 7π/180. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 7° can't be written with square roots: 7° is not a multiple of 3°.

tan 7° = sin 7° / cos 7° ≈ 0.1228

xyOP

P(cos 7°, sin 7°) ≈ (0.9925, 0.1219)

T(1, tan 7°) ≈ (1, 0.1228) — where line OP meets the line x = 1.

All four functions of 7°
FunctionExact valueDecimal
sin 7°—≈ 0.1219
cos 7°—≈ 0.9925
tan 7°—≈ 0.1228
cot 7°—≈ 8.1443

See Also

FAQ

What is tan 7°?

tan 7° ≈ 0.1228

Why does tan 7° 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°. 7° is not, so no such exact form exists; the value is used as a decimal: tan 7° ≈ 0.1228.

Why does a calculator show 0.8714 for tan 7?

The calculator is in radian mode (RAD): it takes tan 7 as the tangent of 7 radians, tan 7 rad ≈ 0.8714. Switch it to degrees (DEG): tan 7° ≈ 0.1228. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.