Tan 71 Degrees

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

What is tan 71°?

Answer

tan 71° ≈
2.9042

Angle in radians: 71° = 71π/180. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 71° can't be written with square roots: 71° is not a multiple of 3°.

tan 71° = sin 71° / cos 71° ≈ 2.9042

xyOP

P(cos 71°, sin 71°) ≈ (0.3256, 0.9455)

T(1, tan 71°) ≈ (1, 2.9042) — where line OP meets the line x = 1; T is beyond the drawing, the arrow points to it.

All four functions of 71°
FunctionExact valueDecimal
sin 71°—≈ 0.9455
cos 71°—≈ 0.3256
tan 71°—≈ 2.9042
cot 71°—≈ 0.3443

See Also

FAQ

What is tan 71°?

tan 71° ≈ 2.9042

Why does tan 71° 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°. 71° is not, so no such exact form exists; the value is used as a decimal: tan 71° ≈ 2.9042.

Why does a calculator show −3.0776 for tan 71?

The calculator is in radian mode (RAD): it takes tan 71 as the tangent of 71 radians, tan 71 rad ≈ −3.0776. Switch it to degrees (DEG): tan 71° ≈ 2.9042. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.