Tan 32 Degrees

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

What is tan 32°?

Answer

tan 32° ≈
0.6249

Angle in radians: 32° = 8π/45. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 32° can't be written with square roots: 32° is not a multiple of 3°.

tan 32° = sin 32° / cos 32° ≈ 0.6249

xyOP

P(cos 32°, sin 32°) ≈ (0.8480, 0.5299)

T(1, tan 32°) ≈ (1, 0.6249) — where line OP meets the line x = 1.

All four functions of 32°
FunctionExact valueDecimal
sin 32°—≈ 0.5299
cos 32°—≈ 0.8480
tan 32°—≈ 0.6249
cot 32°—≈ 1.6003

See Also

FAQ

What is tan 32°?

tan 32° ≈ 0.6249

Why does tan 32° 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°. 32° is not, so no such exact form exists; the value is used as a decimal: tan 32° ≈ 0.6249.

Why does a calculator show 0.6610 for tan 32?

The calculator is in radian mode (RAD): it takes tan 32 as the tangent of 32 radians, tan 32 rad ≈ 0.6610. Switch it to degrees (DEG): tan 32° ≈ 0.6249. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.