Tan 74 Degrees

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

What is tan 74°?

Answer

tan 74° ≈
3.4874

Angle in radians: 74° = 37π/90. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 74° can't be written with square roots: 74° is not a multiple of 3°.

tan 74° = sin 74° / cos 74° ≈ 3.4874

xyOP

P(cos 74°, sin 74°) ≈ (0.2756, 0.9613)

T(1, tan 74°) ≈ (1, 3.4874) — where line OP meets the line x = 1; T is beyond the drawing, the arrow points to it.

All four functions of 74°
FunctionExact valueDecimal
sin 74°—≈ 0.9613
cos 74°—≈ 0.2756
tan 74°—≈ 3.4874
cot 74°—≈ 0.2867

See Also

FAQ

What is tan 74°?

tan 74° ≈ 3.4874

Why does tan 74° 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°. 74° is not, so no such exact form exists; the value is used as a decimal: tan 74° ≈ 3.4874.

Why does a calculator show −5.7370 for tan 74?

The calculator is in radian mode (RAD): it takes tan 74 as the tangent of 74 radians, tan 74 rad ≈ −5.7370. Switch it to degrees (DEG): tan 74° ≈ 3.4874. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.