Cot 200 Degrees

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

What is cot 200°?

Answer

cot 200° ≈
2.7475

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

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

cot 200° = cot(180° + 20°) = cot 20° ≈ 2.7475

cot 200° = cos 200° / sin 200° ≈ 2.7475

xyOP

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

C(cot 200°, 1) ≈ (2.7475, 1) — where line OP meets the line y = 1, on the extension of the ray beyond O (dashed); C is beyond the drawing, the arrow points to it.

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: cot 20° ≈ 2.7475

See Also

Recalculate with different values ↑

Cotangent of nearby angles

Anglecot
180°undefined
195°2 + √3
198°√(5 + 2√5)
200°≈ 2.7475
210°√3
211°≈ 1.6643
215°≈ 1.4281

FAQ

What is cot 200°?

cot 200° ≈ 2.7475

Why does cot 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: cot 200° ≈ 2.7475.

Why does a calculator show −0.5579 for cot 200?

The calculator is in radian mode (RAD): it takes cot 200 as the cotangent of 200 radians, cot 200 rad ≈ −0.5579. Switch it to degrees (DEG): cot 200° ≈ 2.7475. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also