Cot 355 Degrees

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

What is cot 355°?

Answer

cot 355° ≈
−11.4301

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

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

cot 355° = cot(360° − 5°) = −cot 5° ≈ −11.4301

cot 355° = cos 355° / sin 355° ≈ −11.4301

xyOP

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

C(cot 355°, 1) ≈ (−11.4301, 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 355°
FunctionExact valueDecimal
sin 355°—≈ −0.0872
cos 355°—≈ 0.9962
tan 355°—≈ −0.0875
cot 355°—≈ −11.4301

Reference angle: cot 5° ≈ 11.4301

See Also

Recalculate with different values ↑

Cotangent of nearby angles

Anglecot
341°≈ −2.9042
342°−√(5 + 2√5)
345°−2 − √3
355°≈ −11.4301
360°undefined
390°√3
400°≈ 1.1918

FAQ

What is cot 355°?

cot 355° ≈ −11.4301

Why does cot 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: cot 355° ≈ −11.4301.

Why does a calculator show 33,173.7088 for cot 355?

The calculator is in radian mode (RAD): it takes cot 355 as the cotangent of 355 radians, cot 355 rad ≈ 33,173.7088. Switch it to degrees (DEG): cot 355° ≈ −11.4301. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also