Sin 355 Degrees

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

What is sin 355°?

Answer

sin 355° ≈
−0.0872

Angle in radians: 355° = 71π/36. The point of the angle is in quadrant IV, where sine is negative.

≈ — rounded to 4 decimal places. sin 355° can't be written with square roots: 355° is not a multiple of 3°.

sin 355° = sin(360° − 5°) = −sin 5° ≈ −0.0872

P(cos 355°, sin 355°) ≈ (0.9962, −0.0872)

xyOP

P(cos 355°, sin 355°) ≈ (0.9962, −0.0872)

Highlighted: the projection on the y-axis — sine, y ≈ −0.0872.

All four functions of 355°
FunctionExact valueDecimal
sin 355°—≈ −0.0872
cos 355°—≈ 0.9962
tan 355°—≈ −0.0875
cot 355°—≈ −11.4301

Reference angle: sin 5° ≈ 0.0872

See Also

FAQ

What is sin 355°?

sin 355° ≈ −0.0872

Why does sin 355° 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°. 355° is not, so no such exact form exists; the value is used as a decimal: sin 355° ≈ −0.0872.

Why does a calculator show −0.0000301 for sin 355?

The calculator is in radian mode (RAD): it takes sin 355 as the sine of 355 radians, sin 355 rad ≈ −0.0000301. Switch it to degrees (DEG): sin 355° ≈ −0.0872. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.