Tan 42 Degrees

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

What is tan 42°?

Answer

tan 42° ≈
0.9004

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

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

tan 42° = sin 42° / cos 42° ≈ 0.9004

xyOP

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

T(1, tan 42°) ≈ (1, 0.9004) — where line OP meets the line x = 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 ↑

Tangent of nearby angles

Angletan
39°≈ 0.8098
40°≈ 0.8391
41°≈ 0.8693
42°≈ 0.9004
43°≈ 0.9325
44°≈ 0.9657
45°1

FAQ

What is tan 42°?

tan 42° ≈ 0.9004

Is there an exact value of tan 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: tan 42° ≈ 0.9004.

Why does a calculator show 2.2914 for tan 42?

The calculator is in radian mode (RAD): it takes tan 42 as the tangent of 42 radians, tan 42 rad ≈ 2.2914. Switch it to degrees (DEG): tan 42° ≈ 0.9004. In radians the value is never undefined: π is irrational, so a whole number of radians never lands exactly on an axis.

See Also