Tan 68 Degrees

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

What is tan 68°?

Answer

tan 68° ≈
2.4751

Angle in radians: 68° = 17π/45. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 68° can't be written with square roots: 68° is not a multiple of 3°.

tan 68° = sin 68° / cos 68° ≈ 2.4751

xyOP

P(cos 68°, sin 68°) ≈ (0.3746, 0.9272)

T(1, tan 68°) ≈ (1, 2.4751) — where line OP meets the line x = 1; T is beyond the drawing, the arrow points to it.

All four functions of 68°
FunctionExact valueDecimal
sin 68°—≈ 0.9272
cos 68°—≈ 0.3746
tan 68°—≈ 2.4751
cot 68°—≈ 0.4040

See Also

FAQ

What is tan 68°?

tan 68° ≈ 2.4751

Why does tan 68° 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°. 68° is not, so no such exact form exists; the value is used as a decimal: tan 68° ≈ 2.4751.

Why does a calculator show −2.0401 for tan 68?

The calculator is in radian mode (RAD): it takes tan 68 as the tangent of 68 radians, tan 68 rad ≈ −2.0401. Switch it to degrees (DEG): tan 68° ≈ 2.4751. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.