Sin 69 Degrees

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

What is sin 69°?

Answer

sin 69° ≈
0.9336

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

≈ — rounded to 4 decimal places. An exact form of sin 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 y-axis — sine, y ≈ 0.9336.

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 ↑

Sine of nearby angles

Anglesin
66°≈ 0.9135
67°≈ 0.9205
68°≈ 0.9272
69°≈ 0.9336
70°≈ 0.9397
71°≈ 0.9455
72°√(10 + 2√5)/4

FAQ

What is sin 69°?

sin 69° ≈ 0.9336

Is there an exact value of sin 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: sin 69° ≈ 0.9336.

Why does a calculator show −0.1148 for sin 69?

The calculator is in radian mode (RAD): it takes sin 69 as the sine of 69 radians, sin 69 rad ≈ −0.1148. Switch it to degrees (DEG): sin 69° ≈ 0.9336. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also