Sin 76 Degrees

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

What is sin 76°?

Answer

sin 76° ≈
0.9703

Angle in radians: 76° = 19π/45. The point of the angle is in quadrant I, where sine is positive.

≈ — rounded to 4 decimal places. sin 76° can't be written with square roots: 76° is not a multiple of 3°.

P(cos 76°, sin 76°) ≈ (0.2419, 0.9703)

xyOP

P(cos 76°, sin 76°) ≈ (0.2419, 0.9703)

Highlighted: the projection on the y-axis — sine, y ≈ 0.9703.

All four functions of 76°
FunctionExact valueDecimal
sin 76°—≈ 0.9703
cos 76°—≈ 0.2419
tan 76°—≈ 4.0108
cot 76°—≈ 0.2493

See Also

Recalculate with different values ↑

Sine of nearby angles

Anglesin
73°≈ 0.9563
74°≈ 0.9613
75°(√6 + √2)/4
76°≈ 0.9703
77°≈ 0.9744
78°≈ 0.9781
79°≈ 0.9816

FAQ

What is sin 76°?

sin 76° ≈ 0.9703

Why does sin 76° 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°. 76° is not, so no such exact form exists; the value is used as a decimal: sin 76° ≈ 0.9703.

Why does a calculator show 0.5661 for sin 76?

The calculator is in radian mode (RAD): it takes sin 76 as the sine of 76 radians, sin 76 rad ≈ 0.5661. Switch it to degrees (DEG): sin 76° ≈ 0.9703. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also