Sin 215 Degrees

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

What is sin 215°?

Answer

sin 215° ≈
−0.5736

Angle in radians: 215° = 43π/36. The point of the angle is in quadrant III, where sine is negative.

≈ — rounded to 4 decimal places. sin 215° can't be written with square roots: 215° is not a multiple of 3°.

sin 215° = sin(180° + 35°) = −sin 35° ≈ −0.5736

P(cos 215°, sin 215°) ≈ (−0.8192, −0.5736)

xyOP

P(cos 215°, sin 215°) ≈ (−0.8192, −0.5736)

Highlighted: the projection on the y-axis — sine, y ≈ −0.5736.

All four functions of 215°
FunctionExact valueDecimal
sin 215°—≈ −0.5736
cos 215°—≈ −0.8192
tan 215°—≈ 0.7002
cot 215°—≈ 1.4281

Reference angle: sin 35° ≈ 0.5736

See Also

FAQ

What is sin 215°?

sin 215° ≈ −0.5736

Why does sin 215° 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°. 215° is not, so no such exact form exists; the value is used as a decimal: sin 215° ≈ −0.5736.

Why does a calculator show 0.9802 for sin 215?

The calculator is in radian mode (RAD): it takes sin 215 as the sine of 215 radians, sin 215 rad ≈ 0.9802. Switch it to degrees (DEG): sin 215° ≈ −0.5736. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.