Tan 70 Degrees

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

What is tan 70°?

Answer

tan 70° ≈
2.7475

Angle in radians: 70° = 7π/18. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 70° can't be written with square roots: 70° is not a multiple of 3°.

tan 70° = sin 70° / cos 70° ≈ 2.7475

xyOP

P(cos 70°, sin 70°) ≈ (0.3420, 0.9397)

T(1, tan 70°) ≈ (1, 2.7475) — where line OP meets the line x = 1; T is beyond the drawing, the arrow points to it.

All four functions of 70°
FunctionExact valueDecimal
sin 70°—≈ 0.9397
cos 70°—≈ 0.3420
tan 70°—≈ 2.7475
cot 70°—≈ 0.3640

See Also

FAQ

What is tan 70°?

tan 70° ≈ 2.7475

Why does tan 70° 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°. 70° is not, so no such exact form exists; the value is used as a decimal: tan 70° ≈ 2.7475.

Why does a calculator show 1.2220 for tan 70?

The calculator is in radian mode (RAD): it takes tan 70 as the tangent of 70 radians, tan 70 rad ≈ 1.2220. Switch it to degrees (DEG): tan 70° ≈ 2.7475. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.