Sin 71 Degrees

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

What is sin 71°?

Answer

sin 71° ≈
0.9455

Angle in radians: 71° = 71π/180. The point of the angle is in quadrant I, where sine is positive.

≈ — rounded to 4 decimal places. sin 71° can't be written with square roots: 71° is not a multiple of 3°.

P(cos 71°, sin 71°) ≈ (0.3256, 0.9455)

xyOP

P(cos 71°, sin 71°) ≈ (0.3256, 0.9455)

Highlighted: the projection on the y-axis — sine, y ≈ 0.9455.

All four functions of 71°
FunctionExact valueDecimal
sin 71°—≈ 0.9455
cos 71°—≈ 0.3256
tan 71°—≈ 2.9042
cot 71°—≈ 0.3443

See Also

Recalculate with different values ↑

Sine of nearby angles

Anglesin
68°≈ 0.9272
69°≈ 0.9336
70°≈ 0.9397
71°≈ 0.9455
72°√(10 + 2√5)/4
73°≈ 0.9563
74°≈ 0.9613

FAQ

What is sin 71°?

sin 71° ≈ 0.9455

Why does sin 71° 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°. 71° is not, so no such exact form exists; the value is used as a decimal: sin 71° ≈ 0.9455.

Why does a calculator show 0.9511 for sin 71?

The calculator is in radian mode (RAD): it takes sin 71 as the sine of 71 radians, sin 71 rad ≈ 0.9511. Switch it to degrees (DEG): sin 71° ≈ 0.9455. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also