Tan 37 Degrees

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

What is tan 37°?

Answer

tan 37° ≈
0.7536

Angle in radians: 37° = 37π/180. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 37° can't be written with square roots: 37° is not a multiple of 3°.

tan 37° = sin 37° / cos 37° ≈ 0.7536

xyOP

P(cos 37°, sin 37°) ≈ (0.7986, 0.6018)

T(1, tan 37°) ≈ (1, 0.7536) — where line OP meets the line x = 1.

All four functions of 37°
FunctionExact valueDecimal
sin 37°—≈ 0.6018
cos 37°—≈ 0.7986
tan 37°—≈ 0.7536
cot 37°—≈ 1.3270

See Also

FAQ

What is tan 37°?

tan 37° ≈ 0.7536

Why does tan 37° 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°. 37° is not, so no such exact form exists; the value is used as a decimal: tan 37° ≈ 0.7536.

Why does a calculator show −0.8408 for tan 37?

The calculator is in radian mode (RAD): it takes tan 37 as the tangent of 37 radians, tan 37 rad ≈ −0.8408. Switch it to degrees (DEG): tan 37° ≈ 0.7536. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.