Cos 69 Degrees

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

What is cos 69°?

Answer

cos 69° ≈
0.3584

Angle in radians: 69° = 23π/60. The point of the angle is in quadrant I, where cosine is positive.

≈ — rounded to 4 decimal places. An exact form of cos 69° in square roots exists, but it is unwieldy — nested radicals.

P(cos 69°, sin 69°) ≈ (0.3584, 0.9336)

xyOP

P(cos 69°, sin 69°) ≈ (0.3584, 0.9336)

Highlighted: the projection on the x-axis — cosine, x ≈ 0.3584.

All four functions of 69°
FunctionExact valueDecimal
sin 69°—≈ 0.9336
cos 69°—≈ 0.3584
tan 69°—≈ 2.6051
cot 69°—≈ 0.3839

See Also

Recalculate with different values ↑

Cosine of nearby angles

Anglecos
66°≈ 0.4067
67°≈ 0.3907
68°≈ 0.3746
69°≈ 0.3584
70°≈ 0.3420
71°≈ 0.3256
72°(√5 − 1)/4

FAQ

What is cos 69°?

cos 69° ≈ 0.3584

Is there an exact value of cos 69°?

Yes: 69° 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 69° ≈ 0.3584.

Why does a calculator show 0.9934 for cos 69?

The calculator is in radian mode (RAD): it takes cos 69 as the cosine of 69 radians, cos 69 rad ≈ 0.9934. Switch it to degrees (DEG): cos 69° ≈ 0.3584. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also