Sin 48 Degrees

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

What is sin 48°?

Answer

sin 48° ≈
0.7431

Angle in radians: 48° = 4π/15. The point of the angle is in quadrant I, where sine is positive.

≈ — rounded to 4 decimal places. An exact form of sin 48° in square roots exists, but it is unwieldy — nested radicals.

P(cos 48°, sin 48°) ≈ (0.6691, 0.7431)

xyOP

P(cos 48°, sin 48°) ≈ (0.6691, 0.7431)

Highlighted: the projection on the y-axis — sine, y ≈ 0.7431.

All four functions of 48°
FunctionExact valueDecimal
sin 48°—≈ 0.7431
cos 48°—≈ 0.6691
tan 48°—≈ 1.1106
cot 48°—≈ 0.9004

See Also

Recalculate with different values ↑

Sine of nearby angles

Anglesin
45°√2/2
46°≈ 0.7193
47°≈ 0.7314
48°≈ 0.7431
49°≈ 0.7547
50°≈ 0.7660
51°≈ 0.7771

FAQ

What is sin 48°?

sin 48° ≈ 0.7431

Is there an exact value of sin 48°?

Yes: 48° 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 48° ≈ 0.7431.

Why does a calculator show −0.7683 for sin 48?

The calculator is in radian mode (RAD): it takes sin 48 as the sine of 48 radians, sin 48 rad ≈ −0.7683. Switch it to degrees (DEG): sin 48° ≈ 0.7431. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also