Tan 67 Degrees

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

What is tan 67°?

Answer

tan 67° ≈
2.3559

Angle in radians: 67° = 67π/180. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 67° can't be written with square roots: 67° is not a multiple of 3°.

tan 67° = sin 67° / cos 67° ≈ 2.3559

xyOP

P(cos 67°, sin 67°) ≈ (0.3907, 0.9205)

T(1, tan 67°) ≈ (1, 2.3559) — where line OP meets the line x = 1; T is beyond the drawing, the arrow points to it.

All four functions of 67°
FunctionExact valueDecimal
sin 67°—≈ 0.9205
cos 67°—≈ 0.3907
tan 67°—≈ 2.3559
cot 67°—≈ 0.4245

See Also

FAQ

What is tan 67°?

tan 67° ≈ 2.3559

Why does tan 67° 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°. 67° is not, so no such exact form exists; the value is used as a decimal: tan 67° ≈ 2.3559.

Why does a calculator show 1.6523 for tan 67?

The calculator is in radian mode (RAD): it takes tan 67 as the tangent of 67 radians, tan 67 rad ≈ 1.6523. Switch it to degrees (DEG): tan 67° ≈ 2.3559. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.