Cot 195 Degrees

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

What is cot 195°?

Answer

cot 195° =
2 + √3 ≈ 3.7321

Angle in radians: 195° = 13π/12. The point of the angle is in quadrant III, where cotangent is positive.

≈ — rounded to 4 decimal places.

cot 195° = cot(180° + 15°) = cot 15° = 2 + √3

cot 195° = cos 195° / sin 195° = (−(√6 + √2)/4) / (−(√6 − √2)/4) = 2 + √3

cot 15° = 1 / tan 15° = 1 / (2 − √3) = 2 + √3

xyOP

P(cos 195°, sin 195°) ≈ (−0.9659, −0.2588)

C(cot 195°, 1) ≈ (3.7321, 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 195°
FunctionExact valueDecimal
sin 195°−(√6 − √2)/4≈ −0.2588
cos 195°−(√6 + √2)/4≈ −0.9659
tan 195°2 − √3≈ 0.2679
cot 195°2 + √3≈ 3.7321

Reference angle: cot 15° = 2 + √3

See Also

Recalculate with different values ↑

Cotangent of nearby angles

Anglecot
175°≈ −11.4301
179°≈ −57.2900
180°undefined
195°2 + √3
198°√(5 + 2√5)
200°≈ 2.7475
210°√3

FAQ

What is cot 195°?

cot 195° = 2 + √3 ≈ 3.7321

How are sin 15° and cos 75° related?

They are equal: sin α = cos(90° − α), and 15° + 75° = 90°. So sin 15° = cos 75° = (√6 − √2)/4, cos 15° = sin 75° = (√6 + √2)/4, and tan 15° = cot 75° = 2 − √3.

Why does a calculator show 4.4457 for cot 195?

The calculator is in radian mode (RAD): it takes cot 195 as the cotangent of 195 radians, cot 195 rad ≈ 4.4457. Switch it to degrees (DEG): cot 195° = 2 + √3 ≈ 3.7321. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also