Sin 130 Degrees

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

What is sin 130°?

Answer

sin 130° ≈
0.7660

Angle in radians: 130° = 13π/18. The point of the angle is in quadrant II, where sine is positive.

≈ — rounded to 4 decimal places. sin 130° can't be written with square roots: 130° is not a multiple of 3°.

sin 130° = sin(180° − 50°) = sin 50° ≈ 0.7660

P(cos 130°, sin 130°) ≈ (−0.6428, 0.7660)

xyOP

P(cos 130°, sin 130°) ≈ (−0.6428, 0.7660)

Highlighted: the projection on the y-axis — sine, y ≈ 0.7660.

All four functions of 130°
FunctionExact valueDecimal
sin 130°—≈ 0.7660
cos 130°—≈ −0.6428
tan 130°—≈ −1.1918
cot 130°—≈ −0.8391

Reference angle: sin 50° ≈ 0.7660

See Also

Recalculate with different values ↑

Sine of nearby angles

Anglesin
125°≈ 0.8192
126°(√5 + 1)/4
127°≈ 0.7986
130°≈ 0.7660
134°≈ 0.7193
135°√2/2
140°≈ 0.6428

FAQ

What is sin 130°?

sin 130° ≈ 0.7660

Why does sin 130° 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°. 130° is not, so no such exact form exists; the value is used as a decimal: sin 130° ≈ 0.7660.

Why does a calculator show −0.9301 for sin 130?

The calculator is in radian mode (RAD): it takes sin 130 as the sine of 130 radians, sin 130 rad ≈ −0.9301. Switch it to degrees (DEG): sin 130° ≈ 0.7660. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also