Cos 63 Degrees

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

What is cos 63°?

Answer

cos 63° ≈
0.4540

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

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

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

xyOP

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

Highlighted: the projection on the x-axis — cosine, x ≈ 0.4540.

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 cos 63°?

cos 63° ≈ 0.4540

Is there an exact value of cos 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: cos 63° ≈ 0.4540.

Why does a calculator show 0.9859 for cos 63?

The calculator is in radian mode (RAD): it takes cos 63 as the cosine of 63 radians, cos 63 rad ≈ 0.9859. Switch it to degrees (DEG): cos 63° ≈ 0.4540. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.