Sin 49 Degrees

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

What is sin 49°?

Answer

sin 49° ≈
0.7547

Angle in radians: 49° = 49π/180. The point of the angle is in quadrant I, where sine is positive.

≈ — rounded to 4 decimal places. sin 49° can't be written with square roots: 49° is not a multiple of 3°.

P(cos 49°, sin 49°) ≈ (0.6561, 0.7547)

xyOP

P(cos 49°, sin 49°) ≈ (0.6561, 0.7547)

Highlighted: the projection on the y-axis — sine, y ≈ 0.7547.

All four functions of 49°
FunctionExact valueDecimal
sin 49°—≈ 0.7547
cos 49°—≈ 0.6561
tan 49°—≈ 1.1504
cot 49°—≈ 0.8693

See Also

FAQ

What is sin 49°?

sin 49° ≈ 0.7547

Why does sin 49° 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°. 49° is not, so no such exact form exists; the value is used as a decimal: sin 49° ≈ 0.7547.

Why does a calculator show −0.9538 for sin 49?

The calculator is in radian mode (RAD): it takes sin 49 as the sine of 49 radians, sin 49 rad ≈ −0.9538. Switch it to degrees (DEG): sin 49° ≈ 0.7547. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.