Sin 46 Degrees

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

What is sin 46°?

Answer

sin 46° ≈
0.7193

Angle in radians: 46° = 23π/90. The point of the angle is in quadrant I, where sine is positive.

≈ — rounded to 4 decimal places. sin 46° can't be written with square roots: 46° is not a multiple of 3°.

P(cos 46°, sin 46°) ≈ (0.6947, 0.7193)

xyOP

P(cos 46°, sin 46°) ≈ (0.6947, 0.7193)

Highlighted: the projection on the y-axis — sine, y ≈ 0.7193.

All four functions of 46°
FunctionExact valueDecimal
sin 46°—≈ 0.7193
cos 46°—≈ 0.6947
tan 46°—≈ 1.0355
cot 46°—≈ 0.9657

See Also

FAQ

What is sin 46°?

sin 46° ≈ 0.7193

Why does sin 46° 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°. 46° is not, so no such exact form exists; the value is used as a decimal: sin 46° ≈ 0.7193.

Why does a calculator show 0.9018 for sin 46?

The calculator is in radian mode (RAD): it takes sin 46 as the sine of 46 radians, sin 46 rad ≈ 0.9018. Switch it to degrees (DEG): sin 46° ≈ 0.7193. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.