Tan 64 Degrees

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

What is tan 64°?

Answer

tan 64° ≈
2.0503

Angle in radians: 64° = 16π/45. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 64° can't be written with square roots: 64° is not a multiple of 3°.

tan 64° = sin 64° / cos 64° ≈ 2.0503

xyOP

P(cos 64°, sin 64°) ≈ (0.4384, 0.8988)

T(1, tan 64°) ≈ (1, 2.0503) — where line OP meets the line x = 1; T is beyond the drawing, the arrow points to it.

All four functions of 64°
FunctionExact valueDecimal
sin 64°—≈ 0.8988
cos 64°—≈ 0.4384
tan 64°—≈ 2.0503
cot 64°—≈ 0.4877

See Also

FAQ

What is tan 64°?

tan 64° ≈ 2.0503

Why does tan 64° 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°. 64° is not, so no such exact form exists; the value is used as a decimal: tan 64° ≈ 2.0503.

Why does a calculator show 2.3479 for tan 64?

The calculator is in radian mode (RAD): it takes tan 64 as the tangent of 64 radians, tan 64 rad ≈ 2.3479. Switch it to degrees (DEG): tan 64° ≈ 2.0503. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.