Tan 46 Degrees

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

What is tan 46°?

Answer

tan 46° ≈
1.0355

Angle in radians: 46° = 23π/90. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 46° can't be written with square roots: 46° is not a multiple of 3°.

tan 46° = sin 46° / cos 46° ≈ 1.0355

xyOP

P(cos 46°, sin 46°) ≈ (0.6947, 0.7193)

T(1, tan 46°) ≈ (1, 1.0355) — where line OP meets the line x = 1.

All four functions of 46°
FunctionExact valueDecimal
sin 46°—≈ 0.7193
cos 46°—≈ 0.6947
tan 46°—≈ 1.0355
cot 46°—≈ 0.9657

See Also

FAQ

What is tan 46°?

tan 46° ≈ 1.0355

Why does tan 46° 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°. 46° is not, so no such exact form exists; the value is used as a decimal: tan 46° ≈ 1.0355.

Why does a calculator show −2.0866 for tan 46?

The calculator is in radian mode (RAD): it takes tan 46 as the tangent of 46 radians, tan 46 rad ≈ −2.0866. Switch it to degrees (DEG): tan 46° ≈ 1.0355. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.