Tan 76 Degrees

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

What is tan 76°?

Answer

tan 76° ≈
4.0108

Angle in radians: 76° = 19π/45. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 76° can't be written with square roots: 76° is not a multiple of 3°.

tan 76° = sin 76° / cos 76° ≈ 4.0108

xyOP

P(cos 76°, sin 76°) ≈ (0.2419, 0.9703)

T(1, tan 76°) ≈ (1, 4.0108) — where line OP meets the line x = 1; T is beyond the drawing, the arrow points to it.

All four functions of 76°
FunctionExact valueDecimal
sin 76°—≈ 0.9703
cos 76°—≈ 0.2419
tan 76°—≈ 4.0108
cot 76°—≈ 0.2493

See Also

FAQ

What is tan 76°?

tan 76° ≈ 4.0108

Why does tan 76° 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°. 76° is not, so no such exact form exists; the value is used as a decimal: tan 76° ≈ 4.0108.

Why does a calculator show 0.6867 for tan 76?

The calculator is in radian mode (RAD): it takes tan 76 as the tangent of 76 radians, tan 76 rad ≈ 0.6867. Switch it to degrees (DEG): tan 76° ≈ 4.0108. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.