Cot 42 Degrees

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

What is cot 42°?

Answer

cot 42° ≈
1.1106

Angle in radians: 42° = 7π/30. The point of the angle is in quadrant I, where cotangent is positive.

≈ — rounded to 4 decimal places. An exact form of cot 42° in square roots exists, but it is unwieldy — nested radicals.

cot 42° = cos 42° / sin 42° ≈ 1.1106

xyOP

P(cos 42°, sin 42°) ≈ (0.7431, 0.6691)

C(cot 42°, 1) ≈ (1.1106, 1) — where line OP meets the line y = 1.

All four functions of 42°
FunctionExact valueDecimal
sin 42°—≈ 0.6691
cos 42°—≈ 0.7431
tan 42°—≈ 0.9004
cot 42°—≈ 1.1106

See Also

Recalculate with different values ↑

Cotangent of nearby angles

Anglecot
39°≈ 1.2349
40°≈ 1.1918
41°≈ 1.1504
42°≈ 1.1106
43°≈ 1.0724
44°≈ 1.0355
45°1

FAQ

What is cot 42°?

cot 42° ≈ 1.1106

Is there an exact value of cot 42°?

Yes: 42° is a multiple of 3°, and the values of such angles can be written with square roots — but the expression is unwieldy, with nested radicals built from the values of 18° and 15° (3° = 18° − 15°). In practice the decimal is used: cot 42° ≈ 1.1106.

Why does a calculator show 0.4364 for cot 42?

The calculator is in radian mode (RAD): it takes cot 42 as the cotangent of 42 radians, cot 42 rad ≈ 0.4364. Switch it to degrees (DEG): cot 42° ≈ 1.1106. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also