Tan 65 Degrees

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

What is tan 65°?

Answer

tan 65° ≈
2.1445

Angle in radians: 65° = 13π/36. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. tan 65° can't be written with square roots: 65° is not a multiple of 3°.

tan 65° = sin 65° / cos 65° ≈ 2.1445

xyOP

P(cos 65°, sin 65°) ≈ (0.4226, 0.9063)

T(1, tan 65°) ≈ (1, 2.1445) — where line OP meets the line x = 1; T is beyond the drawing, the arrow points to it.

All four functions of 65°
FunctionExact valueDecimal
sin 65°—≈ 0.9063
cos 65°—≈ 0.4226
tan 65°—≈ 2.1445
cot 65°—≈ 0.4663

See Also

FAQ

What is tan 65°?

tan 65° ≈ 2.1445

Why does tan 65° 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°. 65° is not, so no such exact form exists; the value is used as a decimal: tan 65° ≈ 2.1445.

Why does a calculator show −1.4700 for tan 65?

The calculator is in radian mode (RAD): it takes tan 65 as the tangent of 65 radians, tan 65 rad ≈ −1.4700. Switch it to degrees (DEG): tan 65° ≈ 2.1445. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.