Tan 88 Degrees

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

What is tan 88°?

Answer

tan 88° ≈
28.6363

Angle in radians: 88° = 22π/45. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 88° can't be written with square roots: 88° is not a multiple of 3°.

tan 88° = sin 88° / cos 88° ≈ 28.6363

xyOP

P(cos 88°, sin 88°) ≈ (0.0349, 0.9994)

T(1, tan 88°) ≈ (1, 28.6363) — where line OP meets the line x = 1; T is beyond the drawing, the arrow points to it.

All four functions of 88°
FunctionExact valueDecimal
sin 88°—≈ 0.9994
cos 88°—≈ 0.0349
tan 88°—≈ 28.6363
cot 88°—≈ 0.0349

See Also

FAQ

What is tan 88°?

tan 88° ≈ 28.6363

Why does tan 88° 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°. 88° is not, so no such exact form exists; the value is used as a decimal: tan 88° ≈ 28.6363.

Why does a calculator show 0.0354 for tan 88?

The calculator is in radian mode (RAD): it takes tan 88 as the tangent of 88 radians, tan 88 rad ≈ 0.0354. Switch it to degrees (DEG): tan 88° ≈ 28.6363. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.