Tan 47 Degrees

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

What is tan 47°?

Answer

tan 47° ≈
1.0724

Angle in radians: 47° = 47π/180. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 47° can't be written with square roots: 47° is not a multiple of 3°.

tan 47° = sin 47° / cos 47° ≈ 1.0724

xyOP

P(cos 47°, sin 47°) ≈ (0.6820, 0.7314)

T(1, tan 47°) ≈ (1, 1.0724) — where line OP meets the line x = 1.

All four functions of 47°
FunctionExact valueDecimal
sin 47°—≈ 0.7314
cos 47°—≈ 0.6820
tan 47°—≈ 1.0724
cot 47°—≈ 0.9325

See Also

FAQ

What is tan 47°?

tan 47° ≈ 1.0724

Why does tan 47° 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°. 47° is not, so no such exact form exists; the value is used as a decimal: tan 47° ≈ 1.0724.

Why does a calculator show −0.1245 for tan 47?

The calculator is in radian mode (RAD): it takes tan 47 as the tangent of 47 radians, tan 47 rad ≈ −0.1245. Switch it to degrees (DEG): tan 47° ≈ 1.0724. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.