Sin 74 Degrees

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

What is sin 74°?

Answer

sin 74° ≈
0.9613

Angle in radians: 74° = 37π/90. The point of the angle is in quadrant I, where sine is positive.

≈ — rounded to 4 decimal places. sin 74° can't be written with square roots: 74° is not a multiple of 3°.

P(cos 74°, sin 74°) ≈ (0.2756, 0.9613)

xyOP

P(cos 74°, sin 74°) ≈ (0.2756, 0.9613)

Highlighted: the projection on the y-axis — sine, y ≈ 0.9613.

All four functions of 74°
FunctionExact valueDecimal
sin 74°—≈ 0.9613
cos 74°—≈ 0.2756
tan 74°—≈ 3.4874
cot 74°—≈ 0.2867

See Also

FAQ

What is sin 74°?

sin 74° ≈ 0.9613

Why does sin 74° 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°. 74° is not, so no such exact form exists; the value is used as a decimal: sin 74° ≈ 0.9613.

Why does a calculator show −0.9851 for sin 74?

The calculator is in radian mode (RAD): it takes sin 74 as the sine of 74 radians, sin 74 rad ≈ −0.9851. Switch it to degrees (DEG): sin 74° ≈ 0.9613. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.