Sin 77 Degrees

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

What is sin 77°?

Answer

sin 77° ≈
0.9744

Angle in radians: 77° = 77π/180. The point of the angle is in quadrant I, where sine is positive.

≈ — rounded to 4 decimal places. sin 77° can't be written with square roots: 77° is not a multiple of 3°.

P(cos 77°, sin 77°) ≈ (0.2250, 0.9744)

xyOP

P(cos 77°, sin 77°) ≈ (0.2250, 0.9744)

Highlighted: the projection on the y-axis — sine, y ≈ 0.9744.

All four functions of 77°
FunctionExact valueDecimal
sin 77°—≈ 0.9744
cos 77°—≈ 0.2250
tan 77°—≈ 4.3315
cot 77°—≈ 0.2309

See Also

Recalculate with different values ↑

Sine of nearby angles

Anglesin
74°≈ 0.9613
75°(√6 + √2)/4
76°≈ 0.9703
77°≈ 0.9744
78°≈ 0.9781
79°≈ 0.9816
80°≈ 0.9848

FAQ

What is sin 77°?

sin 77° ≈ 0.9744

Why does sin 77° 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°. 77° is not, so no such exact form exists; the value is used as a decimal: sin 77° ≈ 0.9744.

Why does a calculator show 0.9995 for sin 77?

The calculator is in radian mode (RAD): it takes sin 77 as the sine of 77 radians, sin 77 rad ≈ 0.9995. Switch it to degrees (DEG): sin 77° ≈ 0.9744. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also