Tan 48 Degrees

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

What is tan 48°?

Answer

tan 48° ≈
1.1106

Angle in radians: 48° = 4π/15. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. An exact form of tan 48° in square roots exists, but it is unwieldy — nested radicals.

tan 48° = sin 48° / cos 48° ≈ 1.1106

xyOP

P(cos 48°, sin 48°) ≈ (0.6691, 0.7431)

T(1, tan 48°) ≈ (1, 1.1106) — where line OP meets the line x = 1.

All four functions of 48°
FunctionExact valueDecimal
sin 48°—≈ 0.7431
cos 48°—≈ 0.6691
tan 48°—≈ 1.1106
cot 48°—≈ 0.9004

See Also

FAQ

What is tan 48°?

tan 48° ≈ 1.1106

Is there an exact value of tan 48°?

Yes: 48° is a multiple of 3°, and the values of such angles can be written with square roots — but the expression is unwieldy, with nested radicals built from the values of 18° and 15° (3° = 18° − 15°). In practice the decimal is used: tan 48° ≈ 1.1106.

Why does a calculator show 1.2001 for tan 48?

The calculator is in radian mode (RAD): it takes tan 48 as the tangent of 48 radians, tan 48 rad ≈ 1.2001. Switch it to degrees (DEG): tan 48° ≈ 1.1106. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.