Cos 200 Degrees

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

What is cos 200°?

Answer

cos 200° ≈
−0.9397

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

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

cos 200° = cos(180° + 20°) = −cos 20° ≈ −0.9397

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

xyOP

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

Highlighted: the projection on the x-axis — cosine, x ≈ −0.9397.

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: cos 20° ≈ 0.9397

See Also

Recalculate with different values ↑

Cosine of nearby angles

Anglecos
180°−1
195°−(√6 + √2)/4
198°−√(10 + 2√5)/4
200°≈ −0.9397
210°−√3/2
211°≈ −0.8572
215°≈ −0.8192

FAQ

What is cos 200°?

cos 200° ≈ −0.9397

Why does cos 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: cos 200° ≈ −0.9397.

Why does a calculator show 0.4872 for cos 200?

The calculator is in radian mode (RAD): it takes cos 200 as the cosine of 200 radians, cos 200 rad ≈ 0.4872. Switch it to degrees (DEG): cos 200° ≈ −0.9397. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also