Cot 175 Degrees

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

What is cot 175°?

Answer

cot 175° ≈
−11.4301

Angle in radians: 175° = 35π/36. The point of the angle is in quadrant II, where cotangent is negative.

≈ — rounded to 4 decimal places. cot 175° can't be written with square roots: 175° is not a multiple of 3°.

cot 175° = cot(180° − 5°) = −cot 5° ≈ −11.4301

cot 175° = cos 175° / sin 175° ≈ −11.4301

xyOP

P(cos 175°, sin 175°) ≈ (−0.9962, 0.0872)

C(cot 175°, 1) ≈ (−11.4301, 1) — where line OP meets the line y = 1; C is beyond the drawing, the arrow points to it.

All four functions of 175°
FunctionExact valueDecimal
sin 175°—≈ 0.0872
cos 175°—≈ −0.9962
tan 175°—≈ −0.0875
cot 175°—≈ −11.4301

Reference angle: cot 5° ≈ 11.4301

See Also

FAQ

What is cot 175°?

cot 175° ≈ −11.4301

Why does cot 175° 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°. 175° is not, so no such exact form exists; the value is used as a decimal: cot 175° ≈ −11.4301.

Why does a calculator show −0.7470 for cot 175?

The calculator is in radian mode (RAD): it takes cot 175 as the cotangent of 175 radians, cot 175 rad ≈ −0.7470. Switch it to degrees (DEG): cot 175° ≈ −11.4301. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.