Sin 106 Degrees

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

What is sin 106°?

Answer

sin 106° ≈
0.9613

Angle in radians: 106° = 53π/90. The point of the angle is in quadrant II, where sine is positive.

≈ — rounded to 4 decimal places. sin 106° can't be written with square roots: 106° is not a multiple of 3°.

sin 106° = sin(180° − 74°) = sin 74° ≈ 0.9613

P(cos 106°, sin 106°) ≈ (−0.2756, 0.9613)

xyOP

P(cos 106°, sin 106°) ≈ (−0.2756, 0.9613)

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

All four functions of 106°
FunctionExact valueDecimal
sin 106°—≈ 0.9613
cos 106°—≈ −0.2756
tan 106°—≈ −3.4874
cot 106°—≈ −0.2867

Reference angle: sin 74° ≈ 0.9613

See Also

Recalculate with different values ↑

Sine of nearby angles

Anglesin
100°≈ 0.9848
101°≈ 0.9816
105°(√6 + √2)/4
106°≈ 0.9613
108°√(10 + 2√5)/4
110°≈ 0.9397
120°√3/2

FAQ

What is sin 106°?

sin 106° ≈ 0.9613

Why does sin 106° 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°. 106° is not, so no such exact form exists; the value is used as a decimal: sin 106° ≈ 0.9613.

Why does a calculator show −0.7271 for sin 106?

The calculator is in radian mode (RAD): it takes sin 106 as the sine of 106 radians, sin 106 rad ≈ −0.7271. Switch it to degrees (DEG): sin 106° ≈ 0.9613. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also