Tan 63 Degrees

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

What is tan 63°?

Answer

tan 63° ≈
1.9626

Angle in radians: 63° = 7π/20. The point of the angle is in quadrant I, where tangent is positive.

≈ — rounded to 4 decimal places. An exact form of tan 63° in square roots exists, but it is unwieldy — nested radicals.

tan 63° = sin 63° / cos 63° ≈ 1.9626

xyOP

P(cos 63°, sin 63°) ≈ (0.4540, 0.8910)

T(1, tan 63°) ≈ (1, 1.9626) — where line OP meets the line x = 1.

All four functions of 63°
FunctionExact valueDecimal
sin 63°—≈ 0.8910
cos 63°—≈ 0.4540
tan 63°—≈ 1.9626
cot 63°—≈ 0.5095

See Also

FAQ

What is tan 63°?

tan 63° ≈ 1.9626

Is there an exact value of tan 63°?

Yes: 63° 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 63° ≈ 1.9626.

Why does a calculator show 0.1697 for tan 63?

The calculator is in radian mode (RAD): it takes tan 63 as the tangent of 63 radians, tan 63 rad ≈ 0.1697. Switch it to degrees (DEG): tan 63° ≈ 1.9626. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.