Sin 67 Degrees

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

What is sin 67°?

Answer

sin 67° ≈
0.9205

Angle in radians: 67° = 67π/180. The point of the angle is in quadrant I, where sine is positive.

≈ — rounded to 4 decimal places. sin 67° can't be written with square roots: 67° is not a multiple of 3°.

P(cos 67°, sin 67°) ≈ (0.3907, 0.9205)

xyOP

P(cos 67°, sin 67°) ≈ (0.3907, 0.9205)

Highlighted: the projection on the y-axis — sine, y ≈ 0.9205.

All four functions of 67°
FunctionExact valueDecimal
sin 67°—≈ 0.9205
cos 67°—≈ 0.3907
tan 67°—≈ 2.3559
cot 67°—≈ 0.4245

See Also

Recalculate with different values ↑

Sine of nearby angles

Anglesin
64°≈ 0.8988
65°≈ 0.9063
66°≈ 0.9135
67°≈ 0.9205
68°≈ 0.9272
69°≈ 0.9336
70°≈ 0.9397

FAQ

What is sin 67°?

sin 67° ≈ 0.9205

Why does sin 67° 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°. 67° is not, so no such exact form exists; the value is used as a decimal: sin 67° ≈ 0.9205.

Why does a calculator show −0.8555 for sin 67?

The calculator is in radian mode (RAD): it takes sin 67 as the sine of 67 radians, sin 67 rad ≈ −0.8555. Switch it to degrees (DEG): sin 67° ≈ 0.9205. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also