Sin 65 Degrees

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

What is sin 65°?

Answer

sin 65° ≈
0.9063

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

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

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

xyOP

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

Highlighted: the projection on the y-axis — sine, y ≈ 0.9063.

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

Recalculate with different values ↑

Sine of nearby angles

Anglesin
62°≈ 0.8829
63°≈ 0.8910
64°≈ 0.8988
65°≈ 0.9063
66°≈ 0.9135
67°≈ 0.9205
68°≈ 0.9272

FAQ

What is sin 65°?

sin 65° ≈ 0.9063

Why does sin 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: sin 65° ≈ 0.9063.

Why does a calculator show 0.8268 for sin 65?

The calculator is in radian mode (RAD): it takes sin 65 as the sine of 65 radians, sin 65 rad ≈ 0.8268. Switch it to degrees (DEG): sin 65° ≈ 0.9063. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also