Sin 101 Degrees

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

What is sin 101°?

Answer

sin 101° ≈
0.9816

Angle in radians: 101° = 101π/180. The point of the angle is in quadrant II, where sine is positive.

≈ — rounded to 4 decimal places. sin 101° can't be written with square roots: 101° is not a multiple of 3°.

sin 101° = sin(180° − 79°) = sin 79° ≈ 0.9816

P(cos 101°, sin 101°) ≈ (−0.1908, 0.9816)

xyOP

P(cos 101°, sin 101°) ≈ (−0.1908, 0.9816)

Highlighted: the projection on the y-axis — sine, y ≈ 0.9816.

All four functions of 101°
FunctionExact valueDecimal
sin 101°—≈ 0.9816
cos 101°—≈ −0.1908
tan 101°—≈ −5.1446
cot 101°—≈ −0.1944

Reference angle: sin 79° ≈ 0.9816

See Also

Recalculate with different values ↑

Sine of nearby angles

Anglesin
97°≈ 0.9925
98°≈ 0.9903
100°≈ 0.9848
101°≈ 0.9816
105°(√6 + √2)/4
106°≈ 0.9613
108°√(10 + 2√5)/4

FAQ

What is sin 101°?

sin 101° ≈ 0.9816

Why does sin 101° 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°. 101° is not, so no such exact form exists; the value is used as a decimal: sin 101° ≈ 0.9816.

Why does a calculator show 0.4520 for sin 101?

The calculator is in radian mode (RAD): it takes sin 101 as the sine of 101 radians, sin 101 rad ≈ 0.4520. Switch it to degrees (DEG): sin 101° ≈ 0.9816. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also