Sin 200 Degrees

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

What is sin 200°?

Answer

sin 200° ≈
−0.3420

Angle in radians: 200° = 10π/9. The point of the angle is in quadrant III, where sine is negative.

≈ — rounded to 4 decimal places. sin 200° can't be written with square roots: 200° is not a multiple of 3°.

sin 200° = sin(180° + 20°) = −sin 20° ≈ −0.3420

P(cos 200°, sin 200°) ≈ (−0.9397, −0.3420)

xyOP

P(cos 200°, sin 200°) ≈ (−0.9397, −0.3420)

Highlighted: the projection on the y-axis — sine, y ≈ −0.3420.

All four functions of 200°
FunctionExact valueDecimal
sin 200°—≈ −0.3420
cos 200°—≈ −0.9397
tan 200°—≈ 0.3640
cot 200°—≈ 2.7475

Reference angle: sin 20° ≈ 0.3420

See Also

FAQ

What is sin 200°?

sin 200° ≈ −0.3420

Why does sin 200° 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°. 200° is not, so no such exact form exists; the value is used as a decimal: sin 200° ≈ −0.3420.

Why does a calculator show −0.8733 for sin 200?

The calculator is in radian mode (RAD): it takes sin 200 as the sine of 200 radians, sin 200 rad ≈ −0.8733. Switch it to degrees (DEG): sin 200° ≈ −0.3420. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.